The Solutions of Elastostatics Derived from the Wave Modes : Two-dimensional Problems in Rectangular Domains

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概要

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• This paper deals with the theory of obtaining the solutions of elastostatics from the solutions of elastodynamics, namely, wave modes. A harmonic wave in an elastic strip consists of P and S waves. These two waves fall into linear dependence at zero frequency. But, as the frequency of the wave tends to zero, the limits of the P or S wave and of a linear combination of the P and S waves become independent solutions of the static equation. There are innumerable pairs of such solutions. The general solution for a rectangular plate may be constructed in the form of a series of these solutions with unknown coefficients. Some problem are calculated numerically as application examples.

• 一般社団法人日本機械学会の論文

著者

• Urata Yoshihiko

  Nagoya Institute Of Technology

• TATEMICHI Aritoshi

  Aichi Gakuin University

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• The Solutions of Elastostatics Derived from the Wave Modes : Two-dimensional Problems in Rectangular Domains

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