Dynamic Analysis of Thin Plates on Winkler Elastic Foundation by Using SCM
Date Issued
2011
Date
2011
Author(s)
Yang, Shih-Hong
Abstract
The application of winkler elastic foundation plate is very general, because of its widely used in various types of structures, the research of its mechanical behavior under loading is essential, in the past, many Scholars just studied this problem, in this paper, we just presented an alternative numerical method to analyze issues which called SCM (Spline Collocation Method), applied it into various types of problems such as static problems, free vibration and dynamic response.
SCM is based on spline function, combined with knots collocation. After we getting system’s govern equation, withing B spline table and system’s boundary condition, this method can discrete system to receive approximation solutions.
This article will use winkler elastic foundation plate’s G.E. and apply it into all kinds of mechanics problems. Combined with the process of solving the SCM, using program to analysis questions.
Finally, this paper just used another engineering software analysis results compared with SCM. We can obtain and confirm SCM is a high-accuracy, convenience and can be developed numerical method.
Subjects
Spline Collocation Method
Winkler elastic foundation
static problems
free vibration
dynamic response
Type
thesis
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