Vibration of Mindlin Plates Programming the P-Version Ritz Method

Name: Vibration of Mindlin Plates Programming the P-Version Ritz Method
Price: 104.74 USD
Availability: InStock
ISBN: 9780080433417

ISBN-10: 0080433413

ISBN-13: 9780080433417

Edition: 1998

Authors: K. M. Liew, Y. Xiang, S. Kitipornchai, C. M. Wang

List price: $210.00

30 day, 100% satisfaction guarantee!

Marketplace

2 new & used from $104.74

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

Description:

Over the last several years, the four authors have jointly conducted research into the analysis of vibrating Mindlin plates as a collaborative project between Nanyang Technological University, The National University of Singapore, and The University of Queensland. The research was prompted by the fact that there is a dearth of vibration results for Mindlin plates when compared to classical thin plate solutions. To generate the vibration results, the authors have successfully employed the Ritz method for general plate shapes and boundary conditions. The Ritz method, once thought to be awkward for general plate analysis, can be automated through suitable trial functions (for displacements)…

Book details

List price: $210.00
Copyright year: 1998
Publisher: Elsevier Science & Technology
Publication date: 11/10/1998
Binding: Hardcover
Pages: 412
Size: 6.87" wide x 9.63" long x 0.50" tall
Weight: 1.188
Language: English



Preface


Introduction


Background of vibration


Plate vibration


About this monograph


Mindlin Plate Theory and Ritz Method


Mindlin plate theory


Energy functionals


Governing differential equations


Boundary conditions


Relations between Kirchhoff and Mindlin plates


Reduction of Mindlin theory to Kirchhoff


Frequency relationship for a class of plates


Shear correction factor


Ritz method


Preliminary remarks


Application of Ritz method to Mindlin plates


Formulation in Polar Coordinates


Introduction


Energy functionals


Eigenvalue equation


Circular and annular plates


Sectorial and annular sectorial plates


Computer program


Software code: VPRITZP1


Sample files for VPRITZP1


Software code: VPRITZP2


Sample files for VPRITZP2


Benchmark checks


Annular plates


Sectorial plates


Annular sectorial plates


Formulation in Rectangular Coordinates


Introduction


Energy functionals


Eigenvalue equation


Computer program


Software code: VPRITZRE


Input file


Output file


Benchmark checks


Isosceles triangular plates


Trapezoidal plates


Elliptical plates


Formulation in Skew Coordinates


Introduction


Skew coordinates transformation


Energy functional in skew coordinates


Eigenvalue equation


Computer program


Software code: VPRITZSK


Sample files


Benchmark checks


Plates with Complicating Effects


Introduction


Initial inplane stresses


Elastic foundations


Stiffeners


Nonuniform thickness


Line/curved/loop internal supports


Point supports


Mixed boundary conditions


Reentrant corners


Perforated plates


Sandwich construction


References



Gaussian quadrature subroutines



Subroutines for mathematical operations on polynomials


Subject index