Discretization method used to resolve the rectangular plates’ stability problem, case of singular elastic foundation

• Main Authors: Roman M. Tatsiy, Taras I. Ushak
• Format: Article
• Language: English
• Published: Odessa National Polytechnic University 2015-06-01
• Series: Trudy Odesskogo Politehničeskogo Universiteta
• Subjects: discretization; generalized 4th order quasi-differential equations; singular elastic base; stability problems
• Online Access: http://pratsi.opu.ua/articles/show/1622

The authors propose a new approximate method for solving the rectangular plates’ stability with a singular elastic base problem. The problem of critical forces’ determination is reduced to solving a set of differential equations with singular coefficients in the form of delta functions. Proposed methods is based on these differential equations‘ coefficients approximation with generalized functions. Authors present a comparative study which demonstrates the elaborated method efficiency when applied to stability problems. Principally new results not considered earlier with the special sources are obtained.