从钓鱼竿的变形看逐段分析求和法
UNDERSTANDING THE METHOD OF SUPERPOSITION OF SEGMENTED DEFORMATION EFFECT FROM THE DEFORMATION ANALYSIS OF A FISHING ROD
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摘要: 本文从钓鱼竿的变形分析引入逐段分析求和法,进而得出逐段分析求和法的具体应用方法,即逐段刚化法或逐段软化法。然后,讨论了应用逐段分析求和法的前提条件,以及它与叠加法的本质区别。最后基于从离散到连续的逐步逼近,解释了逐段分析求和法与积分法的内在联系。启发学生在进行该部分内容的学习时,除了能够熟练掌握逐段分析求和法的具体应用外,还能够深入理解该方法的思想内涵和力学本质。Abstract: The method of superposition of segmented deformation effect is introduced by the deformation analysis of a fishing rod. The actual application of the method is explained in detail, either by stiffening or by softening segment-by-segement. The precondition of applying this method is investigated, and the essential difference from the method based on the principle of superposition is clarified. Finally, the relation between this method and the integration method is explored by the method of gradual approximation from discrete to continuous. This paper is intended to inspire students to understand the nature of the method of superposition of segmented deformation effect and to use it skillfully.