ORIGINAL_ARTICLE
Free in-plane vibration of heterogeneous nanoplates using Ritz method
In this paper, the Ritz method has been employed to analyze the free in-plane vibration of heterogeneous (non-uniform) rectangular nanoplates corresponding to Eringen’s nonlocal elasticity theory. The non-uniformity is taken into account using combinations of linear and quadratic forms in the thickness, material density and Young’s modulus. Two-dimensional boundary characteristic orthogonal polynomials are applied in the Ritz method in order to examine the nonlocal effect, aspect ratio, length of nanoplate and non-uniformity parameters on the vibrational behaviors of the nanoplate. Results are verified with the available published data and good agreements are observed. The outcomes confirm apparent dependency of in-plane frequency of nanoplate on the small scale effect, non-uniformity, aspect ratio and boundary conditions. For instance, frequency parameter decreases by increasing the nonlocal parameter in all vibration modes; the frequency parameters increase with length and aspect ratio of nanoplates. Furthermore, the effect of nonlocal parameters on the frequency parameter is more prominent at the higher aspect ratios. Finally, the effect of nonlocal parameter on the in-plane modes is also presented in this analysis.
https://tava.isav.ir/article_15342_13964456d67a2be70d2e712d68470b24.pdf
2016-01-01
1
20
10.22064/tava.2016.15342
In-plane vibration
Rectangular heterogeneous nanoplate
Nonlocal elasticity theory
Ritz method
Shirko
Faroughi
shirko@iust.ac.ir
1
Assistant Professor, Faculty of Mechanical Engineerng, Urmia University of Technology, Urmia, Iran
LEAD_AUTHOR
Seyed Mohammad Hossein
Goushegir
smhgushegir@live.com
2
M.Sc. Student, Faculty of Mechanical Engineerng, Urmia University of Technology, Urmia, Iran
AUTHOR
[1] S. Thomas, N. Kalarikkal, A. Manuel Stephan, B. Raneesh, A.K. Haghi, Advanced nanomaterials: Synthesis, properties, and applications, Apple Academic Press, 2014.
1
[2] T. Murmu, S. Adhikari, Nonlocal transverse vibration of double-nanobeam-systems, Journal of Applied Physics, 108 (2010) 083514.
2
[3] F. Baletto, R. Ferrando, Structural properties of nanoclusters: Energetic, thermodynamic, and kinetic effects, Reviews of Modern Physics, 77 (2005) 371-423.
3
[4] A.S. Afolabi, A.S. Abdulkareem, S.E. Iyuke, H.C. Van Zyl Pienaar, Continuous production of carbon nanotubes and diamond films by swirled floating catalyst chemical vapour deposition method, South African Journal of Science, 105 (2009) 278-281.
4
[5] K. Nagashio, T. Nishimura, K. Kita, A. Toriumi, Mobility variations in mono-and multi-layer graphene films, Applied Physics Express (APEX), 2 (2009) 025003.
5
[6] A.I. Gusev, A.A. Rempel, Nanocrystalline Materials, Cambridge International Science Publishing, Cambridge, U.K., 2004.
6
[7] X. Li, W. Liu, L. Sun, K.E. Aifantis, B. Yu, Y. Fan, Q. Feng, F. Cui, F. Watari, Effects of physicochemical properties of nanomaterials on their toxicity, Journal of Biomedical Materials Research Part A, 103 (2015) 2499-2507.
7
[8] I. Favero, S. Stapfner, D. Hunger, P. Paulitschke, J. Reichel, H. Lorenz, E.M. Weig, K. Karrai, Fluctuating nanomechanical system in a high finesse optical microcavity, Optics express, 17 (2009) 12813-12820.
8
[9] M. Poot, H.S.J. Van der Zant, Nanomechanical properties of few-layer graphene membranes, Applied Physics Letters, 92 (2008) 063111.
9
[10] P. Ball, Roll up for the revolution, Nature, 414 (2001) 142-144.
10
[11] R.H. Baughman, A.A. Zakhidov, W.A. De Heer, Carbon nanotubes: The route toward applications, Science, 297 (2002) 787-792.
11
[12] B.H. Bodily, C.T. Sun, Structural and equivalent continuum properties of single-walled carbon nanotubes, International Journal of Materials and Product Technology, 18 (2003) 381-397.
12
[13] C. Li, T.W. Chou, A structural mechanics approach for the analysis of carbon nanotubes, International Journal of Solids and Structures, 40 (2003) 2487-2499.
13
[14] R. Liu, L. Wang, Thermal vibration of a single-walled carbon nanotube predicted by semiquantum molecular dynamics, Physical Chemistry Chemical Physics, 17 (2015) 5194-5201.
14
[15] C. Li, T.W. Chou, Quantized molecular structural mechanics modeling for studying the specific heat of single-walled carbon nanotubes, Physical Review B, 71 (2005) 075409.
15
[16] T. Yumura, A density functional theory study of chemical functionalization of carbon nanotubes; Toward site selective functionalization, INTECH Open Access Publisher, 2011.
16
[17] S. Adali, Variational principles for nonlocal continuum model of orthotropic graphene sheets embedded in an elastic medium, Acta Mathematica Scientia, 32 (2012) 325-338.
17
[18] M.R. Karamooz Ravari, A.R. Shahidi, Axisymmetric buckling of the circular annular nanoplates using finite difference method, Meccanica, 48 (2013) 135-144.
18
[19] P. Lu, H.P. Lee, C. Lu, P.Q. Zhang, Dynamic properties of flexural beams using a nonlocal elasticity model, Journal of Applied Physics, 99 (2006) 073510.
19
[20] H.S. Shen, Nonlocal plate model for nonlinear analysis of thin films on elastic foundations in thermal environments, Composite Structures, 93 (2011) 1143-1152.
20
[21] C.Y. Wang, T. Murmu, S. Adhikari, Mechanisms of nonlocal effect on the vibration of nanoplates, Applied Physics Letters, 98 (2011) 153101.
21
[22] A.C. Eringen, Linear theory of nonlocal elasticity and dispersion of plane waves, International Journal of Engineering Science, 10 (1972) 425-435.
22
[23] A.C. Eringen, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics, 54 (1983) 4703-4710.
23
[24] A.C. Eringen, Nonlocal continuum field theories, Springer Science & Business Media, 2002.
24
[25] T.P. Chang, Small scale effect on axial vibration of non-uniform and non-homogeneous nanorods, Computational Materials Science, 54 (2012) 23-27.
25
[26] Loya, J. López-Puente, R. Zaera, J. Fernández-Sáez, Free transverse vibrations of cracked nanobeams using a nonlocal elasticity model, Journal of Applied Physics, 105 (2009) 044309.
26
[27] T. Aksencer, M. Aydogdu, Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory, Physica E: Low-dimensional Systems and Nanostructures, 43 (2011) 954-959.
27
[28] A. Anjomshoa, Application of Ritz functions in buckling analysis of embedded orthotropic circular and elliptical micro/nano-plates based on nonlocal elasticity theory, Meccanica, 48 (2013) 1337-1353.
28
[29] Y.G. Hu, K.M. Liew, Q. Wang, X.Q. He, B.I. Yakobson, Nonlocal shell model for elastic wave propagation in single-and double-walled carbon nanotubes, Journal of the Mechanics and Physics of Solids, 56 (2008) 3475-3485.
29
[30] N.P. Bansal, J. Lamon, Ceramic matrix composites: Materials, modeling and technology, John Wiley & Sons, 2014.
30
[31] V. Yantchev, I. Katardjiev, Thin film Lamb wave resonators in frequency control and sensing applications: a review, Journal of Micromechanics and Microengineering, 23 (2013) 043001.
31
[32] T. Murmu, S.C. Pradhan, Small-scale effect on the free in-plane vibration of nanoplates by nonlocal continuum model, Physica E: Low-dimensional Systems and Nanostructures, 41 (2009) 1628-1633.
32
[33] J. Cumings, P.G. Collins, A. Zettl, Peeling and sharpening multiwall nanotubes, Nature, 406 (2000) 586.
33
[34] A.M. Brodsky, Control of phase transition dynamics in media with nanoscale nonuniformities by coherence loss spectroscopy, Journal of Optics, 12 (2010) 095702.
34
[35] S. Chakraverty, L. Behera, Free vibration of non-uniform nanobeams using Rayleigh–Ritz method, Physica E: Low-dimensional Systems and Nanostructures, 67 (2015) 38-46.
35
[36] A. Koochi, H.M. Sedighi, M. Abadyan, Modeling the size dependent pull-in instability of beam-type NEMS using strain gradient theory, Latin American Journal of Solids and Structures, 11 (2014) 1806-1829.
36
[37] X.J. Xu, Z.C. Deng, Variational principles for buckling and vibration of MWCNTs modeled by strain gradient theory, Applied Mathematics and Mechanics, 35 (2014) 1115-1128.
37
[38] S. Chakraverty, L. Behera, Free vibration of rectangular nanoplates using Rayleigh–Ritz method, Physica E: Low-dimensional Systems and Nanostructures, 56 (2014) 357-363.
38
[39] R.B. Bhat, Plate deflections using orthogonal polynomials, Journal of Engineering Mechanics, 111 (1985) 1301-1309.
39
[40] R.B. Bhat, Vibration of rectangular plates on point and line supports using characteristic orthogonal polynomials in the Rayleigh-Ritz method, Journal of sound and vibration, 149 (1991) 170-172.
40
[41] T.S. Chihara, An introduction to orthogonal polynomials, Gordon and Breach, Science Publisher, Inc., New York, 1978.
41
[42] S.M. Dickinson, A. Di Blasio, On the use of orthogonal polynomials in the Rayleigh-Ritz method for the study of the flexural vibration and buckling of isotropic and orthotropic rectangular plates, Journal of Sound and Vibration, 108 (1986) 51-62.
42
[43] W. Gautschi, G.H. Golub, G. Opfer, Applications and computation of orthogonal polynomials, ADVANCES IN, (1999) 251.
43
[44] B. Singh, S. Chakraverty, Boundary characteristic orthogonal polynomials in numerical approximation, Communications in Numerical Methods in Engineering, 10 (1994) 1027-1043.
44
[45] B. Singh, S. Chakraverty, Use of characteristic orthogonal polynomials in two dimensions for transverse vibration of elliptic and circular plates with variable thickness, Journal of Sound and Vibration, 173 (1994) 289-299.
45
[46] P. Lu, P.Q. Zhang, H.P. Lee, C.M. Wang, J.N. Reddy, Non-local elastic plate theories, in: Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, The Royal Society, 2007, pp. 3225-3240.
46
[47] D.J. Gorman, Free in-plane vibration analysis of rectangular plates by the method of superposition, Journal of Sound and Vibration, 272 (2004) 831-851.
47
[48] L. Behera, S. Chakraverty, Free vibration of Euler and Timoshenko nanobeams using boundary characteristic orthogonal polynomials, Applied Nanoscience, 4 (2014) 347-358.
48
ORIGINAL_ARTICLE
Numerical solution of unsteady flow on airfoils with vibrating local flexible membrane
Unsteady flow separation on the airfoils with local flexible membrane (LFM) has been investigated in transient and laminar flows by the finite volume element method. A unique feature of the present method compared with the common computational fluid dynamic softwares, especially ANSYS CFX, is the modification using the physical influence scheme in convection fluxes at cell surfaces. In contrary to the common softwares which use mathematical methods for discretization, this method considers the physical effects on approximation and discretization and thus increases the accuracy of solution and decreases the diffusion errors significantly. We have focused on the effects of deformation of the membrane on aerodynamic characteristics. For this purpose, first, we have solved the flow on NACA0012 airfoil in Reynolds number of 5000 and investigated the effects of local flexible membrane on aerodynamic coefficients in laminar flow. Then, we have solved the flow over LH37 airfoil in Reynolds number of 1.1×106 and studied the effects of flexible membrane on aerodynamic characteristics in transient flow. To calculate the Reynolds stress in turbulence equations, transient γ-Reθ model has been used. According to the results, airfoil with local flexible membrane prevents flow separation, eliminates laminar separation bubble (LSB) and delays the stall.
https://tava.isav.ir/article_18559_48c63d74efbc2aa5aa2accda665a849f.pdf
2016-01-01
21
34
10.22064/tava.2016.18559
Finite volume element
Fluid solid interaction
Local flexible membrane
Low rReynolds number
Alireza
Naderi
naderi@mut.ac.ir
1
Assistant Professor, Aerospace complex, Malek-Ashtar University of Technology, Tehran, Iran
AUTHOR
Mohammad
Mojtahedpoor
mojtahedpoor@gmail.com
2
Ph.D. Candidate, Aerospace complex, Malek-Ashtar University of Technology, Tehran, Iran
LEAD_AUTHOR
[1] O.S. Gabor, A. Koreanschi, R.M. Botez, Low-speed aerodynamic characteristics improvement of ATR 42 airfoil using a morphing wing approach, in: IECON 2012-38th Annual Conference on IEEE Industrial Electronics Society, IEEE, 2012, pp. 5451-5456.
1
[2] H. Hasegawa, S. Kumagai, Adaptive separation control system using vortex generator jets for time-varying flow, Journal of applied fluid mechanics, 1 (2008) 9-16.
2
[3] W. Chuijie, X. Yanqiong, W. Jiezhi, “Fluid roller bearing” effect and flow control, Acta Mechanica Sinica, 19 (2003) 476-484.
3
[4] O.M. Curet, A. Carrere, R. Waldman, K.S. Breuer, Aerodynamic characterization of wing membrane with adaptive compliance, in: 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2013, pp. 1909.
4
[5] Y. Lian, W. Shyy, Three-dimensional fluid-structure interactions of a membrane wing for micro air vehicle applications, AIAA Paper, 1726 (2003) 2003.
5
[6] Y. Lian, W. Shyy, D. Viieru, B. Zhang, Membrane wing aerodynamics for micro air vehicles, Progress in Aerospace Sciences, 39 (2003) 425-465.
6
[7] R.E. Gordnier, High fidelity computational simulation of a membrane wing airfoil, Journal of Fluids and Structures, 25 (2009) 897-917.
7
[8] R. Albertani, B. Stanford, J.P. Hubner, P.G. Ifju, Aerodynamic coefficients and deformation measurements on flexible micro air vehicle wings, Experimental Mechanics, 47 (2007) 625-635.
8
[9] M. Radmanesh, O. Nematollahi, M. Nili-Ahmadabadi, M. Hassanalian, A novel strategy for designing and manufacturing a fixed wing MAV for the purpose of increasing maneuverability and stability in longitudinal axis, Journal of Applied Fluid Mechanics, 7 (2014) 435-446.
9
[10] P. Rojratsirikul, Z. Wang, I. Gursul, Unsteady fluid–structure interactions of membrane airfoils at low Reynolds numbers, Experiments in Fluids, 46 (2009) 859-872.
10
[11] W. Shyy, F. Klevebring, M. Nilsson, J. Sloan, B. Carroll, C. Fuentes, Rigid and flexible low Reynolds number airfoils, Journal of Aircraft, 36 (1999) 523-529.
11
[12] K.B. Lee, J.H. Kim, C. Kim, Aerodynamic effects of structural flexibility in two-dimensional insect flapping flight, Journal of aircraft, 48 (2011) 894-909.
12
[13] A. Saboonchi, S. Hassanpour, Heat transfer analysis of hot-rolled coils in multi-stack storing, Journal of materials processing technology, 182 (2007) 101-106.
13
[14] N.J. Pern, J.D. Jacob, Wake vortex mitigation using adaptive airfoils - The piezoelectric arc airfoil, in: AIAA, Aerospace Sciences Meeting and Exhibit, 37 th, Reno, NV, 1999.
14
[15] S.K. Chimakurthi, J. Tang, R. Palacios, C.E. S. Cesnik, W. Shyy, Computational aeroelasticity framework for analyzing flapping wing micro air vehicles, AIAA journal, 47 (2009) 1865-1878.
15
[16] W. Kang, J.Z. Zhang, P.H. Feng, Aerodynamic analysis of a localized flexible airfoil at low Reynolds numbers, Communications in Computational Physics, 11 (2012) 1300-1310.
16
[17] R.B. Langtry, J. Gola, F.R. Menter, Predicting 2D airfoil and 3D wind turbine rotor performance using a transition model for general CFD codes, AIAA paper, 395 (2006) 2006.
17
[18] R.B. Langtry, F.R. Menter, Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes, AIAA journal, 47 (2009) 2894-2906.
18
[19] C.B. Blumer, E.R. van Driest, Boundary layer transition-freestream turbulence and pressure gradient effects, AIAA Journal, 1 (1963) 1303-1306.
19
[20] M. Darbandi, M. Taeibi-Rahni, A. Reza Naderi, Firm structure of the separated turbulent shear layer behind modified backward-facing step geometries, International Journal of Numerical Methods for Heat & Fluid Flow, 16 (2006) 803-826.
20
[21] A. Naderi, M. Darbandi, M. Taeibi‐Rahni, Developing a unified FVE‐ALE approach to solve unsteady fluid flow with moving boundaries, International journal for numerical methods in fluids, 63 (2010) 40-68.
21
[22] P.F. Lei, J.Z. Zhang, W. Kang, S. Ren, L. Wang, Unsteady flow separation and high performance of airfoil with local flexible structure at low Reynolds number, Communications in Computational Physics, 16 (2014) 699-717.
22
[23] G. Wichmann, C.H. Rohardt, P. Hirt, Kenndaten für Profile: Profil DLRLH37, in, Luftfahrttechnisches Handbuch – LTH, Band Aerodynamik AD 41102-24, 1998.
23
[24] D. Schawe, C.H. Rohardt, G. Wichmann, Aerodynamic design assessment of Strato 2C and its potential for unmanned high altitude airborne platforms, Aerospace science and technology, 6 (2002) 43-51.
24
ORIGINAL_ARTICLE
A finite element model for extension and shear modes of piezo-laminated beams based on von Karman's nonlinear displacement-strain relation
Piezoelectric actuators and sensors have been broadly used for design of smart structures over the last two decades. Different theoretical assumptions have been considered in order to model these structures by the researchers. In this paper, an enhanced piezolaminated sandwich beam finite element model is presented. The facing layers follow the Euler-Bernoulli assumption while the core layers are modeled with the third-order shear deformation theory (TSDT). To refine the model, the displacement-strain relationships are developed by using von Karman's nonlinear displacement-strain relation. It will be shown that this assumption generates some additional terms on the electric fields and also introduces some electromechanical potential and non-conservative work terms for the extension piezoelectric sub-layers. A variational formulation of the problem is presented. In order to develop an electromechanically coupled finite element model of the extension/shear piezolaminated beam, the electric DoFs as well as the mechanical DoFs are considered. For computing the natural frequencies, the governing equation is linearized around a static equilibrium position. Comparing natural frequencies, the effect of nonlinear terms is studied for some examples
https://tava.isav.ir/article_19079_1d303d79b66f028d059b6d4dc72e63c3.pdf
2016-01-01
35
64
10.22064/tava.2016.19079
Piezolaminated sandwich beam
Finite element model
von Karman's relation
Third-order shear deformation theory
Ahmad Ali
Tahmasebi Moradi
ahmadalitahmasebi@gmail.com
1
Mechanical Engineering Department, Isfahan University of Technology, Isfahan, 84156-83111, Iran
AUTHOR
Saeed
Ziaei-Rad
szrad@cc.iut.ac.ir
2
Mechanical Engineering Department, Isfahan University of Technology, Isfahan, 84156-83111, Iran
AUTHOR
Reza
Tikani
r_tikani@cc.iut.ac.ir
3
Mechanical Engineering Department, Isfahan University of Technology, Isfahan, 84156-83111, Iran
LEAD_AUTHOR
Hamid Reza
Mirdamadi
hrmirdamadi@cc.iut.ac.ir
4
Mechanical Engineering Department, Isfahan University of Technology, Isfahan, 84156-83111, Iran
AUTHOR
[1] V.M.F. Correia, M.A.A. Gomes, A. Suleman, C.M.M. Soares, C.A.M. Soares, Modelling and design of adaptive composite structures, Computer Methods in Applied Mechanics and Engineering, 185 (2000) 325-346.
1
[2] M. Sunar, S.S. Rao, Recent advances in sensing and control of flexible structures via piezoelectric materials technology, Applied Mechanics Reviews, 52 (1999) 1-16.
2
[3] A. Benjeddou, Advances in piezoelectric finite element modeling of adaptive structural elements: a survey, Computers & Structures, 76 (2000) 347-363.
3
[4] A. Benjeddou, Shear-mode piezoceramic advanced materials and structures: a state of the art, Mechanics of Advanced Materials and Structures, 14 (2007) 263-275.
4
[5] M.A. Elshafei, F. Alraiess, Modeling and analysis of smart piezoelectric beams using simple higher order shear deformation theory, Smart Materials and Structures, 22 (2013) 035006.
5
[6] V. Balamurugan, S. Narayanan, A piezoelectric higher-order plate element for the analysis of multi-layer smart composite laminates, Smart Materials and Structures, 16 (2007) 2026.
6
[7] L.N. Sulbhewar, P. Raveendranath, A novel efficient coupled polynomial field interpolation scheme for higher order piezoelectric extension mode beam finite elements, Smart Materials and Structures, 23 (2014) 025024.
7
[8] O.J. Aldraihem, A.A. Khdeir, Smart beams with extension and thickness-shear piezoelectric actuators, Smart Materials and Structures, 9 (2000) 1.
8
[9] M.A. Trindade, A. Benjeddou, On higher-order modelling of smart beams with embedded shear-mode piezoceramic actuators and sensors, Mechanics of Advanced Materials and Structures, 13 (2006) 357-369.
9
[10] M.A. Trindade, A. Benjeddou, R. Ohayon, Finite element modelling of hybrid active–passive vibration damping of multilayer piezoelectric sandwich beams—part I: Formulation, International Journal for Numerical Methods in Engineering, 51 (2001) 835-854.
10
[11] A. Benjeddou, M.A. Trindade, R. Ohayon, New shear actuated smart structure beam finite element, AIAA journal, 37 (1999) 378-383.
11
[12] M.A. Trindade, A. Benjeddou, R. Ohayon, Finite element modelling of hybrid active–passive vibration damping of multilayer piezoelectric sandwich beams—part II: System Analysis, International Journal for Numerical Methods in Engineering, 51 (2001) 855-864.
12
[13] H. Boudaoud, A. Benjeddou, E.M. Daya, S. Belouettar, Analytical evaluation of the effective emcc of sandwich beams with a shear-mode piezoceramic core, in: Proceedings of Second International Conference on Desing and Modelling of Mechanical Systems, Monastir, Tunisia, 2007.
13
[14] J.N. Reddy, A simple higher-order theory for laminated composite plates, Journal of applied mechanics, 51 (1984) 745-752.
14
[15] M.A. Trindade, A. Benjeddou, Refined sandwich model for the vibration of beams with embedded shear piezoelectric actuators and sensors, Computers & Structures, 86 (2008) 859-869.
15
[16] M. Krommer, H. Irschik, On the influence of the electric field on free transverse vibrations of smart beams, Smart Materials and Structures, 8 (1999) 401.
16
[17] P. Muralt, Ferroelectric thin films for micro-sensors and actuators: a review, Journal of Micromechanics and Microengineering, 10 (2000) 136.
17
ORIGINAL_ARTICLE
Finite element model updating of bolted lap joints implementing identification of joint affected region parameters
In this research, the new concept of ‘bolted joint affected region (BJAR)’ is introduced to simulate dynamical behavior of bolted lap joints. Such regions are modeled via special elements called contact zone element (CZE) which unify the neighboring contact surfaces of substructures. These elements are different from the thin layer interface elements that form an individual layer between the two substructures. The CZEs have no specified elastic characteristics. They are thus different from the adjoining solid elements and the constitutive relation for them is prescribed in normal and shear components. The unknown parameters of the model can be identified throughout model updating with modal test data. The structure’s frequency response function (FRF) is measured by excitation with an impact hammer and the measured responses are compared with model predictions including the CZEs’ parameters. The difference between the measured and predicted frequencies is minimized as the objective function. The optimized thickness and density are considered in addition to the elastic properties of BJAR. The competency of the proposed procedure is verified with modeling an actual structure containing a single lap bolted joint coupling two identical structural steel beams. The results showed proper conformity with model predictions. This model can be incorporated into the commercial finite element codes to simulate bolted joints for large and complex structures considering its accuracy and computationally efficient manner
https://tava.isav.ir/article_19385_13616cec3334ea2edfab34400113c5e4.pdf
2016-01-01
65
78
10.22064/tava.2016.19385
Bolted joint affected region
Model updating
Contact zone element
identification
Saeed
Shokrollahi
s_shokrollahi@mut.ac.ir
1
Aerospace complex, Malek-Ashtar University of Technology, Tehran, Iran
LEAD_AUTHOR
Farhad
Adel
fad@mut.ac.ir
2
PhD Candidate ,Aerospace complex, Malek-Ashtar University of Technology, Tehran, Iran
AUTHOR
[1] I. Zaman, A. Khalid, B. Manshoor, S. Araby, M.I. Ghazali, The effects of bolted joints on dynamic response of structures, IOP Conference Series: Materials Science and Engineering, 50 (No. 0120218) (2013).
1
[2] J.L. Dohner, On the development of methodologies for constructing predictive models of structures with joints and interfaces, Sandia National Laboratories, Technical Report No. SAND2001-0003P, (2001).
2
[3] J. Kim, J.C. Yoon, B.S. Kang, Finite element analysis and modeling of structure with bolted joints, Applied Mathematical Modelling, 31 (2007) 895-911.
3
[4] R.A. Ibrahim, C.L. Pettit, Uncertainties and dynamic problems of bolted joints and other fasteners, Journal of Sound and Vibration, 279 (2005) 857-936.
4
[5] K.T. Yang, Y.S. Park, Joint structural parameter identification using a subset of frequency response function measurements, Mechanical Systems and Signal Processing, 7 (1993) 509-530.
5
[6] H. Ahmadian, H. Jalali, Identification of bolted lap joints parameters in assembled structures, Mechanical Systems and Signal Processing, 21 (2007) 1041-1050.
6
[7] F. Gant, P. Rouch, F. Louf, L. Champaney, Definition and updating of simplified models of joint stiffness, International Journal of Solids and Structures, 48 (2011) 775-784.
7
[8] J.E. Mottershead, M.I. Friswell, G.H.T. Ng, J.A. Brandon, Geometric parameters for finite element model updating of joints and constraints, Mechanical Systems and Signal Processing, 10 (1996) 171-182.
8
[9] H. Ahmadian, H. Jalali, Generic element formulation for modelling bolted lap joints, Mechanical Systems and Signal Processing, 21 (2007) 2318-2334.
9
[10] H. Ahmadian, J.E. Mottershead, S. James, M.I. Friswell, C.A. Reece, Modelling and updating of large surface-to-surface joints in the AWE-MACE structure, Mechanical Systems and Signal Processing, 20 (2006) 868-880.
10
[11] D.J. Segalman, A four-parameter Iwan model for lap-type joints, Journal of Applied Mechanics, 72 (2005) 752-760.
11
[12] I.I. Argatov, E.A. Butcher, On the Iwan models for lap-type bolted joints, International Journal of Non-Linear Mechanics, 46 (2011) 347-356.
12
[13] S. Bograd, P. Reuss, A. Schmidt, L. Gaul, M. Mayer, Modeling the dynamics of mechanical joints, Mechanical Systems and Signal Processing, 25 (2011) 2801-2826.
13
[14] Y. Amir, S. Govindarajan, S. Iyyanar, Bolted joints modeling techniques, analytical, stochastic and FEA comparison, in: ASME International Mechanical Engineering Congress and Exposition, American Society of Mechanical Engineers, 2012, pp. 777-788.
14
[15] H. Jalali, Linear contact interface parameter identification using dynamic characteristic equation, Mechanical Systems and Signal Processing, 66 (2016) 111-119.
15
[16] R.E. Goodman, R.L. Taylor, T.L. Brekke, A model for the mechanics of jointed rock, Journal of Soil Mechanics & Foundations Div, 59 (1968) 99-137.
16
[17] C.S. Desai, M.M. Zaman, J.G. Lightner, H.J. Siriwardane, Thin‐layer element for interfaces and joints, International Journal for Numerical and Analytical Methods in Geomechanics, 8 (1984) 19-43.
17
[18] G. Beer, An isoparametric joint/interface element for finite element analysis, International journal for numerical methods in engineering, 21 (1985) 585-600.
18
[19] K.G. Sharma, C.S. Desai, Analysis and implementation of thin-layer element for interfaces and joints, Journal of engineering mechanics, 118 (1992) 2442-2462.
19
[20] R.A. Day, D.M. Potts, Zero thickness interface elements—Numerical stability and application, International Journal for numerical and analytical methods in geomechanics, 18 (1994) 689-708.
20
[21] D.M. Potts, L. Zdravkovic, Finite element analysis in geotechnical engineering: Application, Thomas Telford, London, 2001.
21
[22] H. Ahmadian, M. Ebrahimi, J.E. Mottershead, M.I. Friswell, Identification of bolted-joint interface models, in: Proceedings of ISMA, Katholieke University, Leuven, Belgium, 2002, pp. 1741-1747.
22
[23] H. Ahmadian, H. Jalali, J.E. Mottershead, M.I. Friswell, Dynamic modeling of spot welds using thin layer interface theory, in: 10th International Congress on Sound and Vibration, Stockholm, Sweden, 2003, pp. 7-10.
23
[24] S. Bograd, A. Schmidt, L. Gaul, Joint damping prediction by thin layer elements, in: Proceedings of the IMAC 26th Society of Experimental Mechanics Inc. , Bethel, CT, 2008.
24
[25] G.N. Pande, K.G. Sharma, On joint/interface elements and associated problems of numerical ill‐conditioning, International Journal for Numerical and Analytical Methods in Geomechanics, 3 (1979) 293-300.
25
[26] H. Jalali, A. Hedayati, H. Ahmadian, Modelling mechanical interfaces experiencing micro-slip/slap, Inverse Problems in Science and Engineering, 19 (2011) 751-764.
26
[27] M. Iranzad, H. Ahmadian, Identification of nonlinear bolted lap joint models, Computers & Structures, 96 (2012) 1-8.
27
ORIGINAL_ARTICLE
A one-dimensional model for variations of longitudinal wave velocity under different thermal conditions
Ultrasonic testing is a versatile and important nondestructive testing method. In many industrial applications, ultrasonic testing is carried out at relatively high temperatures. Since the ultrasonic wave velocity is a function of the workpiece temperature, it is necessary to have a good understanding of how the wave velocity and test piece temperature are related. In this paper, variations of longitudinal wave velocity in the presence of a uniform temperature distribution or a thermal gradient is studied using one-dimensional theoretical and numerical models. The numerical model is based on finite element analysis. A linear temperature gradient is assumed and the length of the workpiece and the temperature of the hot side are considered as varying parameters. The workpiece is made of st37 steel, its length is varied in the range of 0.04-0.08 m and the temperature of the hot side is changed from 400 K to 1000 K. The results of the theoretical model are compared with those obtained from the finite element model (FEM) and very good agreement is observed.
https://tava.isav.ir/article_19717_e504a059c22c21722e4688aacd09095a.pdf
2016-01-01
79
90
10.22064/tava.2016.19717
Longitudinal ultrasonic wave
Thermal gradient
Theoretical method
finite element method
Ramin
Shabani
rshabani@mail.kntu.ac.ir
1
Faculty of Mechanical Engineering, K. N. Toosi University of Technology, 19991-43344, Tehran, Iran
AUTHOR
Farhang
Honarvar
honarvar@kntu.ac.ir
2
Faculty of Mechanical Engineering, K. N. Toosi University of Technology, 19991-43344, Tehran, Iran
LEAD_AUTHOR
[1] M. Hayashi, H. Yamada, N. Nabeshima, K. Nagata, Temperature dependence of the velocity of sound in liquid metals of group XIV, International Journal of Thermophysics, 28 (2007) 83-96.
1
[2] W.Y. Tsai, C.F. Huang, T.L. Liao, New implementation of high-precision and instant-response air thermometer by ultrasonic sensors, Sensors and Actuators A: Physical, 117 (2005) 88-94.
2
[3] K. Nowacki, W. Kasprzyk, The sound velocity in an alloy steel at high-temperature conditions, International Journal of Thermophysics, 31 (2010) 103-112.
3
[4] S. Periyannan, K. Balasubramaniam, Multi-level temperature measurements using ultrasonic waveguides, Measurement, 61 (2015) 185-191.
4
[5] D.W. Hahn, M.N. Ozisik, Heat conduction, John Wiley & Sons, 2012.
5
[6] M. Ayani, F. Honarvar, R. Shabani, Study of the variations of longitudinal and transverse ultrasonic wave velocities with changes in temperature (in Persian), Modares Mechanical Engineering, 16 (2016) 199-205.
6
[7] ANSYS Manual, Release 15.0, in: I. ANSYS (Ed.), 2014.
7
ORIGINAL_ARTICLE
Nonlinear dynamic analysis of a four-bar mechanism having revolute joint with clearance
In general, joints are assumed without clearance in the dynamic analysis of multi-body echanical systems. When joint clearance is considered, the mechanism obtains two uncontrollable degrees of freedom and hence the dynamic response considerably changes. The joints’ clearances are the main sources of vibrations and noise due to the impact of the coupling parts in the joints. Therefore, the system responses lead to chaotic and unpredictable behaviors instead of being periodic and regular. In this paper, nonlinear dynamic behavior of a four-bar linkage with clearance at the joint between the coupler and the rocker is studied. The system response is performed by using a nonlinear continuous contact force model proposed by Lankarani and Nikravesh [1] and the friction effect is considered by a modified Coulomb friction law [2]. By using the Poincaré portrait, it is proven that either strange attractors or chaos exist in the system response. Numerical simulations display both periodic and chaotic motions in the system behavior. Therefore, bifurcation analysis is carried out with a change in the size of the clearance corresponding to different values of crank rotational velocities. Fast Fourier Transformation is applied to analyze the frequency spectrum of the system response.
https://tava.isav.ir/article_19881_e87e176ea8ad08e808321243143c6199.pdf
2016-01-01
91
106
10.22064/tava.2016.19881
Four-bar linkage
Clearance
Poincaré portrait
Bifurcation
chaos
Sajjad
Boorghan Farahan
s.farahan@modares.ac.ir
1
M.Sc. Student, Department of Mechanical Engineering, Tarbiat Modares University, Jalal Al Ahmad, Nasr Bridge, Postal Code: 14115-143, Tehran, Iran.
AUTHOR
Mohammad Reza
Ghazavi
ghazavim@modares.ac.ir
2
Department of Mechanical Engineering, Tarbiat Modares University, Jalal Al Ahmad, Nasr Bridge, Postal Code: 14115-143, Tehran, Iran.
LEAD_AUTHOR
Sasan
Rahmanian
rahmanian_sasan@yahoo.com
3
Ph.D. Student, Department of Mechanical Engineering, Tarbiat Modares University, Jalal Al Ahmad, Nasr Bridge, Postal Code: 14115-143, Tehran, Iran.
AUTHOR