Transverse vibrations of orthotropic, non-homogeneous rectangular plates

1984 ◽  
Vol 21 (2) ◽  
pp. 125-133 ◽  
Author(s):  
Patricio A.A. Laura ◽  
Roberto H. Gutierrez
Keyword(s):  
Rectangular Plates ◽  
Transverse Vibrations

Transverse vibrations of continuous rectangular plates: A comparison of results

1989 ◽  
Vol 26 (2) ◽  
pp. 149-154 ◽  
Author(s):  
L. Ercoli ◽  
P.A.A. Laura ◽  
H.C. Sanzi
Keyword(s):  
Rectangular Plates ◽  
Comparison Of Results ◽  
Transverse Vibrations

Acoustic radiation from rectangular panels coupled in an L shape

1987 ◽  
Vol 409 (1837) ◽  
pp. 401-431
Keyword(s):  
Radiation Resistance ◽  
Small Amplitude ◽  
Vibrational Energy ◽  
Acoustic Radiation ◽  
Mode Shapes ◽  
Rectangular Plates ◽  
Large Plate ◽  
Transverse Vibrations ◽  
Analytic Expressions ◽  
Principal Contribution

Analytic expressions are given for the radiation resistance at high modal numbers, of an L junction of two finite rectangular plates. Initially, plates are taken to perform small-amplitude transverse vibrations with sinusoidal mode shapes. It is shown that the principal contribution to the radiation resistance can be derived from the solution of appropriate large plate problems. Consequently, account may be taken of more realistic modal profiles arising from the exchange of vibrational energy in structural subsystems.

Transverse vibrations of rectangular plates continuous in two directions

1986 ◽  
Vol 80 (4) ◽  
pp. 1111-1113 ◽  
Author(s):  
P. A. A. Laura ◽  
L. Ercoli ◽  
V. H. Cortinez ◽  
Z. Padín de Iriso
Keyword(s):  
Rectangular Plates ◽  
Transverse Vibrations

scholarly journals Boundary Characteristic Orthogonal Polynomials in the Study of Transverse Vibrations of Nonhomogeneous Rectangular Plates with Bilinear Thickness Variation

2012 ◽  
Vol 19 (3) ◽  
pp. 349-364 ◽  
Author(s):  
R. Lal ◽  
Yajuvindra Kumar
Keyword(s):  
Orthogonal Polynomials ◽  
Ritz Method ◽  
Cartesian Product ◽  
Three Dimensional ◽  
Mode Shapes ◽  
Thickness Variation ◽  
Rectangular Plates ◽  
Transverse Vibrations ◽  
Modes Of Vibration ◽  
Boundary Characteristic

The free transverse vibrations of thin nonhomogeneous rectangular plates of variable thickness have been studied using boundary characteristic orthogonal polynomials in the Rayleigh-Ritz method. Gram-Schmidt process has been used to generate these orthogonal polynomials in two variables. The thickness variation is bidirectional and is the cartesian product of linear variations along two concurrent edges of the plate. The nonhomogeneity of the plate is assumed to arise due to linear variations in Young's modulus and density of the plate material with the in-plane coordinates. Numerical results have been computed for four different combinations of clamped, simply supported and free edges. Effect of the nonhomogeneity and thickness variation with varying values of aspect ratio on the natural frequencies of vibration is illustrated for the first three modes of vibration. Three dimensional mode shapes for all the four boundary conditions have been presented. A comparison of results with those available in the literature has been made.

Sign in / Sign up

Export Citation Format

Share Document