Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load

Composite Structures

Volumn 90, Issue 4, 2009, Pages 465-473

  Simsek M ^a   Kocaturk T ^a  

^a YILDIZ TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Beams; Dynamic analysis; Forced vibration; Free vibration; Functionally graded material; Moving harmonic load

Indexed keywords

BEAMS; CONSTRAINT CONDITIONS; DYNAMIC BEHAVIORS; DYNAMIC DEFLECTIONS; EULER BERNOULLI BEAM THEORY; EXCITATION FREQUENCY; EXPONENTIAL LAW; FORCED VIBRATION; FREE AND FORCED VIBRATIONS; FREE VIBRATION; FREE VIBRATION CHARACTERISTIC; FUNCTIONALLY GRADED; FUNCTIONALLY GRADED BEAMS; HARMONIC LOADS; LAGRANGE'S EQUATION; MATERIAL DISTRIBUTION; MATERIAL PROPERTY; MOVING HARMONIC LOAD; NUMERICAL RESULTS; POLYNOMIAL FORM; POWER-LAW; SIMPLY SUPPORTED BEAMS; THICKNESS DIRECTION; TRIAL FUNCTIONS;

BEAMS AND GIRDERS; CRACK INITIATION; DYNAMIC RESPONSE; EULER EQUATIONS; FUNCTIONALLY GRADED MATERIALS; HARMONIC ANALYSIS; LAGRANGE MULTIPLIERS;

DYNAMIC ANALYSIS;

BEAM; MATHEMATICAL ANALYSIS; THEORETICAL ANALYSIS; VIBRATION;

EID: 67349159858     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2009.04.024     Document Type: Article

References (32)

1. Timoshenko S., and Young D.H. Vibration problems in engineering (1955), Van Nostrand Company, New York
2. Fryba L. Vibration of solids and structures under moving loads (1972), Noordhoff International, Groningen, The Netherlands
3. Lin Y.H., and Trethewey W. Finite element analysis of elastic beams subjected to moving dynamic loads. J Sound Vib 136 2 (1990) 323-342
4. Lee H.P. Dynamic response of a beam with intermediate point constraints subject to a moving load. J Sound Vib 171 3 (1994) 361-368
5. Henchi K., Fafard K.M., Dhatt G., and Talbot M. Dynamic behavior of multi-span beams under moving loads. J Sound Vib 199 1 (1997) 33-50
6. Wang R.T. Vibration of multi-span Timoshenko beams to a moving force. J Sound Vib 207 5 (1997) 731-742
7. Zheng D.Y., Cheung Y.K., Au F.T.K., and Cheng Y.S. Vibration of multi-span non-uniform beams under moving loads by using modified beam vibration functions. J Sound Vib 212 3 (1998) 455-467
8. Kadivar M.H., and Mohebpour S.R. Finite element dynamic analysis of unsymmetric composite laminated beams with shear effect and rotary inertia under the action of moving loads. Finite Element Anal Des 29 3-4 (1998) 259-273
9. Zhu X.Q., and Law S.S. Moving force identification on multi-span continuous bridge. J Sound Vib 228 2 (1999) 377-396
10. Chan T.H.T., and Yung T.H. A theoretical study of force identification using prestressed concrete bridges. Eng Struct 22 11 (2000) 1529-1537
11. Abu-Hilal M., and Mohsen M. Vibration of beams with general boundary conditions due to moving harmonic load. J Sound Vib 232 4 (2000) 703-717
12. Zhu X.Q., and Law S.S. Precise time-step integration for the dynamic response of a continuous beam under moving loads. J Sound Vib 240 5 (2000) 962-970
13. Chen Y.H., Huang Y.H., and Shih C.T. Response of an infinite Timoshenko beam on a viscoelastic foundation to a harmonic moving load. J Sound Vib 241 5 (2001) 809-824
14. Michaltsos G.T. Dynamic behaviour of a single-span beam subjected to loads moving with variable speeds. J Sound Vib 258 2 (2002) 359-372
15. Dugush Y.A., and Eisenberger M. Vibrations of non-uniform continuous beams under moving loads. J Sound Vib 254 5 (2002) 911-926
16. Abu-Hilal M. Vibration of beams with general boundary conditions due to a moving random load. Arch Appl Mech 72 9 (2003) 637-650
17. Şimşek M. Analysis of behavior of beams subjected to an eccentric compressive force under effect of a moving harmonic load. PhD thesis, Institute of Science and Technology of Yildiz Technical University, İstanbul; 2008.
18. Kocatürk T., and Şimşek M. Vibration of viscoelastic beams subjected to an eccentric compressive force and a concentrated moving harmonic force. J Sound Vib 291 1-2 (2006) 302-322
19. Kocatürk T., and Şimşek M. Dynamic analysis of eccentrically prestressed viscoelastic Timoshenko beams under a moving harmonic load. Comput Struct 84 31-32 (2006) 2113-2127
20. Şimşek M., and Kocatürk T. Dynamic analysis of an eccentrically prestressed damped beam under a moving harmonic force using higher order shear deformation theory. J Struct Eng - ASCE 133 12 (2007) 1733-1741
21. Sankar B.V. An elasticity solution for functionally graded beams. Compos Sci Technol 61 5 (2001) 689-696
22. Chakraborty A., Gopalakrishnan S., and Reddy J.N. A new beam finite element for the analysis of functionally graded materials. Int J Mech Sci 45 3 (2003) 519-539
23. Chakraborty A., and Gopalakrishnan S. A spectrally formulated finite element for wave propagation analysis in functionally graded beams. Int J Solid Struct 40 10 (2003) 2421-2448
24. Aydogdu M., and Taskin V. Free vibration analysis of functionally graded beams with simply supported edges. Mater Des 28 5 (2007) 1651-1656
25. Zhong Z., and Yu T. Analytical solution of a cantilever functionally graded beam. Compos Sci Technol 67 3-4 (2007) 481-488
26. Ying J., Lü C.F., and Chen W.Q. Two-dimensional elasticity solutions for functionally graded beams resting on elastic foundations. Compos Struct 84 3 (2008) 209-219
27. Kapuria S., Bhattacharyya M., and Kumar A.N. Bending and free vibration response of layered functionally graded beams: a theoretical model and its experimental validation. Compos Struct 82 3 (2008) 390-402
28. Yang J., and Chen Y. Free vibration and buckling analyses of functionally graded beams with edge cracks. Compos Struct 83 1 (2008) 48-60
29. Li X.F. A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler-Bernoulli beams. J Sound Vib 318 4-5 (2008) 1210-1229
30. Yang J., Chen Y., Xiang Y., and Jia X.L. Free and forced vibration of cracked inhomogeneous beams under an axial force and a moving load. J Sound Vib 312 1-2 (2008) 166-181
31. Kim J., and Paulino G.H. Finite element evaluation of mixed mode stress intensity factors in functionally graded materials. Int J Numer Meth Eng 53 8 (2002) 1903-1935
32. Wakashima K, Hirano T, Niino M. Space applications of advanced structural materials. ESA 1990. SP 303-97.