Dynamic Optimal Shapes of Simple Beam-Columns with Constant Volume

일정체적 단순지지 보-기둥의 동적 최적단면

  • Received : 1997.02.12
  • Published : 1997.06.30


The main purpose of this paper is to determine the dynamic optimal shapes of simple beam-columns with the constant volume. The parabolic function is chosen as the variable equation for the depth of regular polygon cross-section. The ordinary differential equation including the effect of axial load is applied to calculate the natural frequencies. The Runge-Kutta and Regula-Falsi methods are used to integrate the differential equation and compute the frequencies, respectively. Then the dynamic optimal shape whose lowest natural frequency is highest is determined by reading the critical value of the frequency versus section ratio curve plotted by the frequency data. In the numerical examples, the simple beam-columns are analysed and the numerical results of this study are shown in tables and figures.


Grant : 연속보의 동적 최적설계에 관한 연구

Supported by : 한국학술진흥재단


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