Variational principles of bending problems of thin plates

• Autorzy: He Ji-Huan
• Języki publikacji: EN

Abstrakty

EN

In this paper, via the semi-inverse method proposed previously by the present author, a family of variational principles of bending problems of plates is derived directly from their governing equations and boundary conditions, without using the Lagrange multiplier method. In this method, an energy-like trial functional is constructed with a certain unknown function, which can be identified step by step. A new generalized variational principle is obtained.

Słowa kluczowe

EN

thin plate; variational theory; semi-inverse method; trial-functional

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2001
• Tom: Vol. 53, nr 6
• Strony: 631--642
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

He Ji-Huan

• Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 149 Yanchang Road, P. O. Box 189, P. R. China