Free Vibration Analysis of Rectangular Plates with Interior Elastic Point SupportsFootnote*

*Communicated by N. Banichuk

REFERENCES

• G. V. Rao , I. S. Raju , and C. L. Amba-Rao , Vibration of point supported plates , J. Sound Vib. 29 ( 3 ) 387 – 391 ( 1973 ).
   Web of Science ®Google Scholar
• I. S. Raju and C. L. Amba-Rao , Free vibration of a square plate symmetrically supported at four points on the diagonals , J. Sound Vib. 90 ( 2 ) 291 – 297 ( 1983 ).
   Web of Science ®Google Scholar
• J. G. M. Kerstens , Vibration of a rectangular plate supported at an arbitrary number of points , J. Sound Vib. 64 ( 4 ) 493 – 504 ( 1979 ).
   Google Scholar
• Y. Narita , Note on vibrations of point supported rectangular plates , J. Sound Vib. 93 ( 4 ) 593 – 597 ( 1984 ).
   Web of Science ®Google Scholar
• Y. Narita , The effect of point constrains on transverse vibration of cantilever plates , J. Sound Vib. 102 ( 3 ) 305 – 313 ( 1985 ).
   Web of Science ®Google Scholar
• C. S. Kim and S. M. Dickinson , The flexural vibration of rectangular plates with point supports , J. Sound Vib. 117 ( 2 ) 249 – 261 ( 1987 ).
   Web of Science ®Google Scholar
• R. B. Bhat , Vibration of rectangular plates on point and line supports using characteristic orthogonal polynomials in the Rayleigh-Ritz method , J. Sound Vib. 149 ( 1 ) 170 – 172 ( 1991 ).
   Web of Science ®Google Scholar
• R. B. Bhat , Natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Ritz method , J. Sound Vib. 102 ( 4 ) 493 – 499 ( 1985 ).
   Web of Science ®Google Scholar
• A. W. Leissa , The free vibration of rectangular plates , J. Sound Vib. 31 ( 2 ) 275 – 293 ( 1973 ).
   Google Scholar
• W. Nowacki , Vibration and buckling of rectangular plates simply supported on the periphery and at several points inside , Archiwum Mechaniki Stosowanej 5 ( 3 ) 437 – 454 ( 1953 ) ( in Polish ).
   Google Scholar
• D. J. Gorman , An analytical solution for the free vibration analysis of rectangular plates resting on symmetrically distributed point supports , J. Sound Vib. 79 ( 4 ) 561 – 574 ( 1981 ).
   Web of Science ®Google Scholar
• S. P. Lee and L. T. Lee , Free Vibration analysis of rectangular plates with interior point supports , Mech. Struct. Mach. 22 ( 4 ) 505 – 538 ( 1994 ).
   Web of Science ®Google Scholar
• A. V. Bapat , N. Venkatramani , and S. Suryanarayan , A new approach for representation of a point support in the analysis of plates , J. Sound Vib. 120 ( 1 ) 107 – 125 ( 1988 ).
   Web of Science ®Google Scholar
• A. V. Bapat , N. Venkatramani , and S. Suryanarayan , The use of flexibility functions with negative domains in the vibration analysis of asymmetrically point-supported rectangular plates , J. Sound Vib. 124 ( 3 ) 555 – 576 ( 1988 ).
   Web of Science ®Google Scholar
• A. V. Bapat and S. Suryanarayan , The flexibility function approach to vibration analysis of rectangular plates with arbitrary multiple point supports on the edges , J. Sound Vib. 128 ( 2 ) 209 – 233 ( 1989 ).
   Web of Science ®Google Scholar
• A.V. Bapat and S. Suryanarayan , Free vibrations of periodically point-supported rectangular plates , J. Sound Vib. 132 ( 3 ) 491 – 501 ( 1989 ).
   Web of Science ®Google Scholar
• A. V. Bapat and S. Suryanarayan , Free vibrations of rectangular plates with interior point supports , J. Sound Vib. 134 ( 2 ) 291 – 313 ( 1989 ).
   Web of Science ®Google Scholar
• A. V. Bapat and S. Suryanarayan , The fictitious foundation approach to vibration analysis of plates with interior point supports , J. Sound Vib. 155 ( 2 ) 325 – 341 ( 1992 ∥.
   Web of Science ®Google Scholar
• Z. Ding , The application of a type of new admissible function to the vibration of rectangular plates , Comput. Struct 52 ( 2 ) 199 – 203 ( 1994 ).
   Web of Science ®Google Scholar
• S. M. Dickinson and E. K. H. Li , On the use of simply-supported plate functions in the Rayleigh-Ritz method applied to the flexural vibration of rectangular plates , J. Sound Vib. 80 ( 2 ) 292 – 297 ( 1982 ).
   Web of Science ®Google Scholar
• S. P. Timoshenko and J. Gere , Mechanics of Material , Ban Nostrand Rainhold , 1972 .
   Google Scholar
• *Communicated by N. Banichuk
   Google Scholar