Three-Dimensional Vibration Analysis of Thick FGM Plate Strips Under Moving Line Loads

REFERENCES

• Fryba , L. 1972 . Vibration of Solids and Structures under Moving Loads , Groningen : Noordhoff International .
   Google Scholar
• Wu , J. S. , Lee , M. L. and Lai , T. S. 1987 . The Dynamic Analysis of a Flat Plate Under a Moving Load by the Finite Element Method . Int. J. Numer. Methods Eng. , vol. 24 : 743 – 762 .
   Web of Science ®Google Scholar
• Agrawal , O. P. , Stanišic' , M. M. and Saigal , S. 1988 . Dynamic Responses of Orthotropic Plates Under Moving Masses . Arch. Appl. Mech. , vol. 58 : 9 – 14 .
   Google Scholar
• Manoach , E. 1993 . Dynamic Response of Elastoplastic Mindlin Plate by Mode Superposition Method . Sound J. Vib. , vol. 162 : 165 – 175 .
   Web of Science ®Google Scholar
• Gbadeyan , J. A. and Oni , S. T. 1995 . Dynamic Behavior of Beams and Rectangular Plates under Moving Loads . Sound J. Vib. , vol. 182 : 677 – 695 .
   Web of Science ®Google Scholar
• Wang , R. T. and Lin , T. Y. 1996 . Vibration of Multispan Mindlin Plates to a Moving Load . Chinese J. Inst. Eng. , vol. 19 : 467 – 477 .
   Web of Science ®Google Scholar
• Kim , S. M. and Roesset , J. M. 1998 . Moving Loads on a Plate on Elastic Foundation . J. Eng. Mech. , vol. 124 : 1010 – 1017 .
   Web of Science ®Google Scholar
• Larrondo , H. A. , Avalos , D. R. and Laura , P. A. A. 1998 . Transverse Vibrations of Simply Supported Anisotropic Rectangular Plates Carrying an Elastically Mounted Concentrated Mass . Sound J. Vib. , vol. 215 : 1195 – 1202 .
   Web of Science ®Google Scholar
• Takabatake , H. 1998 . Dynamic Analysis of Rectangular Plates with Stepped Thickness Subjected to Moving Loads Including Additional Mass . Sound J. Vib. , vol. 213 : 829 – 842 .
   Web of Science ®Google Scholar
• Laura , P. A. A. , Avalos , D. R. and Larrondo , H. A. 1999 . Forced Vibrations of Simply Supported Anisotropic Rectangular Plates . Sound J. Vib. , vol. 220 : 178 – 185 .
   Web of Science ®Google Scholar
• Wang , R. T. and Kuo , N. Y. 1999 . Nonlinear Vibration of Mindlin Plate Subjected to Moving Forces Including the Effect of Weight of the Plate . Struct. Eng. Mech. , vol. 8 : 151 – 164 .
   Web of Science ®Google Scholar
• Shadnam , M. R. , Mofid , M. and Akin , J. E. 2001 . On the Dynamic Response of Rectangular Plate, with Moving Mass . Thin Wall. Struct. , vol. 39 : 797 – 806 .
   Web of Science ®Google Scholar
• Rossi , R. E. , Gutiérrez , R. H. and Laura , P. A. A. 2001 . Forced Vibrations of Rectangular Plates Subjected to Harmonic Loading Distributed over a Rectangular Subdomain . Ocean Eng. , vol. 28 : 1575 – 1584 .
   Web of Science ®Google Scholar
• Gbadeyan , J. A. and Dada , M. S. 2001 . The Dynamic Response of Plates on Pasternak Foundation to Distributed Moving Load . Nigerian J. Association of Mathematical Physics , vol. 5 : 184 – 200 .
   Google Scholar
• Zhu , X. Q. and Law , S. S. 2003 . Dynamic Behavior of Orthotropic Rectangular Plates under Moving Loads . J. Eng. Mech. , vol. 129 : 79 – 87 .
   Web of Science ®Google Scholar
• Reismann , H. 1963 . Dynamic Response of an Elastic Plate Strip to a Moving Line Load . AIAA J. , vol. 1 : 354 – 360 .
   Google Scholar
• Reismann , H. 1964 . Response of a Prestressed Elastic Plate Strip to a Moving Pressure Load . Franklin J. Inst. , vol. 278 : 8 – 19 .
   Web of Science ®Google Scholar
• Adler , A. A. and Reismann , H. 1974 . Moving Loads on an Elastic Plate Strip . J. Appl. Mech. , vol. 41 : 713 – 718 . Series E
   Web of Science ®Google Scholar
• Adler , A. A. and Reismann , H. 1975 . Moving Loads on a Pre-stressed. Elastic Plate Strip . Zeitschrift für Angewandte Mathematik und Mechanik , vol. 55 : 657 – 664 .
   Web of Science ®Google Scholar
• Jahanshahi , A. and Monzel , F. J. 1965 . Effects of Rotatory Inertia and Transverse Shear on the Response of Elastic Plates to Moving Forces . Arch. Appl. Mech. , vol. 34 : 401 – 410 .
   Google Scholar
• Tang , S. C. 1967 . Dynamic Response of Elastic Plates on Viscoelastic Foundations to Moving Loads . Arch. Appl. Mech. , vol. 36 : 155 – 163 .
   Google Scholar
• Wilson , J. F. 1974 . Dynamic Whip of Elastically Restrained Plate Strips to Rapid Transient loads . J. Dyn. Syst. , vol. 96 : 163 – 168 . Series G
   Google Scholar
• Labra , J. J. 1974 . The Axially Stressed LIM Reaction Rail Subjected to a Moving Load . Int. J. Solids Struct. , vol. 10 : 1155 – 1170 .
   Google Scholar
• Civelek , M. B. and Erdogan , F. 1975 . Frictionless Contact Problem for an Elastic Layer under Gravity . J. Appl. Mech. , vol. 42 : 136 – 140 . Series E
   Google Scholar
• Civelek , M. B. and Erdogan , F. F. 1976 . Interface Separation in a Frictionless Contact Problem for an Elastic Layer . J. Appl. Mech. , vol. 43 : 175 – 177 . Series E
   Web of Science ®Google Scholar
• Adams , G. G. 1976 . Moving Loads on Elastic Strips with One-Sided Constraints . Int. J. Eng. Sci. , vol. 14 : 1071 – 1083 .
   Web of Science ®Google Scholar
• Adams , G. G. 1978 . A Steadily Moving Load on an Elastic Strip Resting on a Rigid Foundation . Int. J. Eng. Sci. , vol. 16 : 659 – 667 .
   Web of Science ®Google Scholar
• Chonan , S. 1979 . Moving Load on Initially Stressed Thick Plates Attached Together by a Flexible Core . Arch. Appl. Mech. , vol. 48 : 143 – 154 .
   Google Scholar
• Chonan , S. 1979 . Elastically Connected Mindlin Plates Subjected to a Moving Load . Sound J. Vib. , vol. 63 : 452 – 454 .
   Web of Science ®Google Scholar
• Saito , H. , Chonan , S. and Kawanobe , O. 1980 . Response of an Elastically Supported Plate Strip to a Moving Load . Sound J. Vib. , vol. 71 : 191 – 199 .
   Web of Science ®Google Scholar
• Chonan , S. 1984 . Dynamic Response of a Prestressed, Orthotropic Thick Plate Strip to a Moving Line Load . Sound J. Vib. , vol. 93 : 427 – 438 .
   Web of Science ®Google Scholar
• Chonan , S. 1986 . Steady State Response of an Axially Moving Strip Subjected to a Stationary Lateral Load . Sound J. Vib. , vol. 107 : 155 – 165 .
   Web of Science ®Google Scholar
• Chonan , S. 1987 . Moving Load on a Thick Sandwich Plate Strip . Sound J. Vib. , vol. 115 : 25 – 36 .
   Web of Science ®Google Scholar
• Elattary , M. E. 1991 . Moving Loads on an Infinite Plate Strip of Constant Thickness . Phys. J. D: Appl. Phys. , vol. 24 : 541 – 546 .
   Google Scholar
• Kononov , A. V. and Dieterman , H. A. 1999 . Uniformly Moving Constant Load along a Winkler Supported Strip . Eur. J. Mech., A-Solids , vol. 18 : 731 – 743 .
   Web of Science ®Google Scholar
• Holt , J. B. , Koizumi , M. , Hirai , T. and Munir , Z. A. 1993 . Ceramic Transaction: Functionally Gradient Materials , vol. 34 , Ohio, Westerville : The American Ceramic Society .
   Google Scholar
• http://fgmdb.nal.go.jp
   Google Scholar
• Niino , M. , Hirai , T. and Watanabe , R. 1987 . Functionally Gradient Materials Aimed at Heat Resisting Materials for Space Plane . Japanese J. Society of Composite Materials , vol. 13 : 257 – 264 .
   Google Scholar
• Suresh , S. and Mortensen , A. 1998 . Fundamentals of Functionally Graded Materials , London : IOM Communications .
   Google Scholar
• Vel , S. S. and Batra , R. C. 2004 . Three-Dimensional Exact Solution for the Vibration of Functionally Graded Rectangular Plates . Sound J. Vib. , vol. 272 : 703 – 730 .
   Web of Science ®Google Scholar
• Elishakoff , I. , Gentilini , C. and Viola , E. 2005 . Forced Vibrations of Functionally Graded Plates in the Three-Dimensional Setting . AIAA J. , vol. 43 : 2000 – 2007 .
   Google Scholar
• Matsunaga , H. 2008 . Free Vibration and Stability of Functionally Graded Plates According to a 2-D Higher-Order Deformation Theory . Comp. Struct. , vol. 82 : 499 – 512 .
   Google Scholar
• Pao , Y. H. and Mow , C. C. 1973 . Diffraction of Elastic Waves and Dynamics Stress concentration , New York : Crane Russak .
   Google Scholar
• HildeBrand , F. B. 1976 . Advanced Calculus for Applications , Englewood Cliffs, New Jersey : Prentice Hall .
   Google Scholar
• Hasheminejad , S. M. and Rajabi , M. 2007 . Acoustic Resonance Scattering from a Submerged Functionally Graded Cylindrical Shell . Sound J. Vib. , vol. 302 : 208 – 228 .
   Web of Science ®Google Scholar
• Chen , W. Q. , Bian , Z. G. , Lv , D. F. and Ding , H. J. 2004 . 3D Free Vibration Analysis of a Functionally Graded Piezoelectric Hollow Cylinder Filled with Compressible Fluid . Int. J. Solids Struct. , vol. 41 : 947 – 964 .
   Web of Science ®Google Scholar
• Nayfeh , A. H. and Nagy , P. B. 1996 . General Study of Axisymmetric Waves in Layered Anisotropic Fibers and Their Composites . J. Acoust. Soc. Am. , vol. 99 : 931 – 941 .
   Web of Science ®Google Scholar
• Leissa , A. W. 1969 . Vibration of Plates Washington, DC NASA SP-160
   Google Scholar