一种等截面直梁变形能的简便计算方法

A SIMPLE CALCULATION METHOD OF STRAIN ENERGY OF PRISMATIC BEAM

  • 摘要: 针对等截面直梁受集中力、集中力偶和均布载荷作用,提出一种利用结构内力图图形几何性质快速计算结构变形能的简便方法。将变形能表示成由内力图形状确定的几何参数进行简单四则运算的结果。算例表明,该方法避免了结构内力方程的书写及其它复杂的运算,简化了变形能的计算过程,提高了计算效率。

     

    Abstract: For straight beams with a constant cross-section that are subjected to concentrated forces, concentrated couple moments, and uniform load, a simple method for rapidly calculating the strain energy based on the geometric properties of the internal force diagram is proposed. The strain energy is expressed as the outcome of a simple arithmetic operation of geometric parameters determined by the shape of the internal force diagram. The example demonstrates that this method avoids the formulation of the structural internal force equation and other intricate computations, simplifies the process of calculating the strain energy, and enhances the calculation efficiency.

     

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