... of displacement variables are take into account. Linear up to fourth N-order expansion, in the thickness layer-plate direction have been implemented for the introduced displacement field. Rayleigh-Ritz method based on principle of virtual displacement is derived in the framework of Carrera’s unified formulation...

... characteristic orthogonal polynomials generated by using Gram-Schmidt orthogonalization procedure in Rayleigh-Ritz method. Domain occupied by the plate element is given as 1 S = { ( x , y ) , x 2 ∕ a 2 + y 2 ∕ b 2 ≤ 1 ; x , y ∊ R } where a and b...

...Selvakumar Kandasamy; Anand V. Singh A numerical method based on the Rayleigh-Ritz method has been presented for the forced vibration of open cylindrical shells. The equations are derived from the three-dimensional strain-displacement relations in the cylindrical coordinate system. The middle...

...A. P. Gupta; N. Bhardwaj The title problem is analyzed when nodal lines are concentric ellipses by using boundary characteristic orthonormal polynomials in Rayleigh-Ritz method for Winkler foundation where quadratically varying thickness is controlled by two independent taper constants. Numerical...

... , B. A. , 1989 , “ State-Space Solutions to Standard H2 and Hx Control Problems ,” IEEE Trans. Autom. Control. , 34 , No. 8 , pp. 831 – 847 . Bhat , R. B. , 1985 , “ Natural Frequencies of Rectangular Plates Using Characteristic Orthogonal Polynomials in the Rayleigh-Ritz Method...

... in the JOURNAL OF VIBRATION AND ACOUSTICS . Manuscript received Dec. 1998. Associate Technical Editor: R. P. S. Han. 01 Dec 1998 structural engineering Rayleigh-Ritz methods eigenvalues and eigenfunctions structural engineering computing A question arising frequently in structural...