Vibration of Mindlin plates : programming the p-version Ritz Method

摘要: Introduction: background of vibration plate about this monograph. Mindlin theory and Ritz method: energy functionals governing differential equations boundary conditions relations between Kirchhoff plates reduction to frequency relationship for a class shear correction factor method preliminary remarks application plates. Formulas in polar co-ordinates: Eignevalue equation circular annular sectorial computer program software code -VPRITZP1 sample files VPRITZP1 -VPRITZP2 VPRITZP2 benchmark checks Formulation rectangular Eigenvalue - VPRITZE input file output Isosceles triangular trapezoidal elliptical skew co-ordinates transformation -VPRITZSK checks. Plates with complicating effects: initial inplane stress elastic foundations stiffeners nonuniform thickness line/curve/loop internal supports point mixed re-entrant corners perforated sandwich construction. Appendix: Gaussian quadrature subroutines subrutines mathematical operations on polynomials.