<研究報告>トラスと梁の簡易なマトリクス解法

概要

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The matrix methods have appeared to be successful in the investigation of modern elastomechanics. The basic theory adopted in their methods is based on the idea to take a complicated system into component elements with simple elastic and dynamic properties that can be readily expressed in the matrix form. In the application to truss, matrix equation can be derived from the general expression for the axial displacement and external force and internal stress vectors separately. Then, the deflection of this truss is readily determined by save trouble means to matrix calculus. When computing a flexural vibration system of beams with distributed masses and elastic supports as springs, such a system is easily analyzed by transfer matrices. In this case, the shifted column matrix operation is used numerically. Then, the general frequency equation and the normal mode shape are derived. In this paper, some examples are given to demonstrate above methods.
沼津工業高等専門学校の論文
1985-01-31