Dynamic Stability Analysis of Bi-Directional Functionally Graded Beam with Various Shear Deformation Theories Under Harmonic Excitation and Thermal Environment

Subject Areas : Engineering

A Ghorbanpour Arani ¹ , Sh Niknejad ² , A Mihankhah ³ , I Safari ⁴

1 - Mechanical Engineering Faculty, University of Kashan, Kashan, Iran
2 - Mechanical Engineering Faculty, University of Kashan, Kashan, Iran
3 - Mechanical Engineering Faculty, University of Kashan, Kashan, Iran
4 - Mechanical Engineering Faculty, University of Kashan, Kashan, Iran

Received: 2022-03-20 Accepted : 2022-05-20 Published : 2022-09-01

Keywords:

References:

1.  Li X.F., 2008, A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler–Bernoulli beams, Journal of Sound and Vibration 318(4-5): 1210-1229.


2.  Piovan M.T., Machado S.P., 2011, Thermoelastic dynamic stability of thin-walled beams with graded material properties, Thin-Walled Structures 49(3): 437-447.


3.  Mohanty S.C., Dash R.R., Rout T., 2011, Parametric instability of a functionally graded Timoshenko beam on Winkler's elastic foundation, Nuclear Engineering and Design 241(8): 2698-2715.


4.  Yan T., Kitipornchai S., Yang J., He X.Q., 2011, Dynamic behaviour of edge-cracked shear deformable functionally graded beams on an elastic foundation under a moving load, Composite Structures 93(11): 2992-3001.


5.  Ke L.L., Wang Y.S., 2011, Size effect on dynamic stability of functionally graded microbeams based on a modified couple stress theory, Composite Structures 93(2): 342-350.


6.  Şimşek M., Kocatürk T., Akbaş Ş.D., 2012, Dynamic behavior of an axially functionally graded beam under action of a moving harmonic load, Composite Structures 94(8): 2358-2364.


7.  Salamat-talab M., Nateghi A., Torabi J., 2012, Static and dynamic analysis of third-order shear deformation FG micro beam based on modified couple stress theory, International Journal of Mechanical Sciences 57(1): 63-73.


8.  Yan T., Yang J., Kitipornchai S., 2012, Nonlinear dynamic response of an edge-cracked functionally graded Timoshenko beam under parametric excitation, Nonlinear Dynamics 67(1): 527-540.


9.  Yas M.H., Heshmati M., 2012, Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load, Applied Mathematical Modelling 36(4): 1371-1394.


10.  Zamanzadeh M., Rezazadeh G., Jafarsadeghi-poornaki I., Shabani R., 2013, Static and dynamic stability modeling of a capacitive FGM micro-beam in presence of temperature changes, Applied Mathematical Modelling 37(10-11): 6964-6978.


11.  Nguyen D.K., Gan B.S., Le T.H., 2013, Dynamic response of non-uniform functionally graded beams subjected to a variable speed moving load, Journal of Computational Science and Technology 7(1): 12-27.


12.  Wattanasakulpong N., Mao Q., 2015, Dynamic response of Timoshenko functionally graded beams with classical and non-classical boundary conditions using Chebyshev collocation method, Composite Structures 119: 346-354.


13.  Ghiasian S.E., Kiani Y., Eslami M.R., 2015, Nonlinear thermal dynamic buckling of FGM beams, European Journal of Mechanics - A/Solids 54: 232-242.


14.  Gan B.S., Trinh T.H., Le T.H., Nguyen D.K., 2015, Dynamic response of non-uniform Timoshenko beams made of axially FGM subjected to multiple moving point loads, Structural Engineering and Mechanics 53(5): 981-995.


15.  Wang Y., Wu D., 2016, Thermal effect on the dynamic response of axially functionally graded beam subjected to a moving harmonic load, Acta Astronautica 127: 171-181.


16.  Malekzadeh P., Monajjemzadeh S.M., 2016, Dynamic response of functionally graded beams in a thermal environment under a moving load, Mechanics of Advanced Materials and Structures 23(3): 248-258.


17.  Wu H., Yang J., Kitipornchai S., 2017, Dynamic instability of functionally graded multilayer graphene nanocomposite beams in thermal environment, Composite Structures 162: 244-254.


18.  Saffari S., Hashemian M., Toghraie D., 2017, Dynamic stability of functionally graded nanobeam based on nonlocal Timoshenko theory considering surface effects, Physica B: Condensed Matter 520: 97-105.


19.  Nguyen D.K., Bui V.T., 2017, Dynamic analysis of functionally graded Timoshenko beams in thermal environment using a higher-order hierarchical beam element, Mathematical Problems in Engineering 2017: 7025750.


20.  Touloukian Y.S., 1967, Thermophysical Properties of High Temperature Solid Materials, New York, MacMillan.


21.  Karamanli A., 2017, Elastostatic analysis of two-directional functionally graded beams using various beam theories and Symmetric Smoothed Particle Hydrodynamics method, Composite Structures 160: 653-669.


22.  Hao D., Wei C., 2016, Dynamic characteristics analysis of bi-directional functionally graded Timoshenko beams, Composite Structures 141: 253-263.


23.  Ghorbanpour Arani A., Atabakhshian V., Loghman A., Shajari A.R., Amir S., 2012, Nonlinear vibration of embedded SWBNNTs based on nonlocal Timoshenko beam theory using DQ method, Physica B: Condensed Matter 407(13): 2549-2555.


24.  Mohammadimehr M., Rousta Navi B., Ghorbanpour Arani A., 2017, Dynamic stability of modified strain gradient theory sinusoidal viscoelastic piezoelectric polymeric functionally graded single-walled carbon nanotubes reinforced nanocomposite plate considering surface stress and agglomeration effects under hydro-thermo-electro-magneto-mechanical loadings, Mechanics of Advanced Materials and Structures 24(16):1325-1342.


25.  Ebrahimi F., Barati M.R., Haghi P., 2017, Thermal effects on wave propagation characteristics of rotating strain gradient temperature-dependent functionally graded nanoscale beams, Journal of Thermal Stresses 40(5): 535-547.


26.  Ghorbanpour Arani A., Haghparast E., BabaAkbar Zarei H., 2016, Nonlocal vibration of axially moving graphene sheet resting on orthotropic visco-Pasternak foundation under longitudinal magnetic field, Physica B: Condensed Matter 495: 35-49.


27.  Bellman R.E., Casti J., 1971, Differential quadrature and long term integration, Journal of Mathematical Analysis and Applications 34: 235-238.


28.  Bolotin V.V., 1964, The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco, CA.


29.  Ebrahimi F., Ghasemi F., Salari E., 2016, Investigating thermal effects on vibration behavior of temperature-dependent compositionally graded Euler beams with porosities, Meccanica 51(1): 223-249.


30.  Thom T.T., Kien N.D., 2018, Free vibration analysis of 2-D FGM beams in thermal environment based on a new third-order shear deformation theory, Vietnam Journal of Mechanics 40(2): 121-140.


31.  Nguyen D.K., Nguyen Q.H., Tran T.T., Bui V.T., 2017, Vibration of bi-dimensional functionally graded Timoshenko beams excited by a moving load, Acta Mechanica 228(1): 141-155.