Deflection analysis of ligament between two fulcrums

Abstract

分析了两种情况下的丝线的挠度 .一种是两个支点间丝线的直径是均匀的 ;另一种是丝线的直径是均匀变化的 .根据力学求解最大挠度的表达式 ,并讨论影响最大挠度的因素以及在实际 (特别是纤维的烧结和拉伸环节 )中的应用 .分析结果表明 :由于丝线长径比很大 ,丝线的最大挠度跟密度以及跨度的平方成正比 ,与所受的应力成反比 ,而同丝线的直径的具体数值和材料的刚度无关The deflection of filaments between two fulcrums was analyzed. Two kinds of filaments are (considered), one with uniform diameter and the other with a diameter gradient. The expressions of the (maximum) deflection were derived through mechanics analysis, and the parameters affecting the maximum (deflection) were discussed. The analysis indicates that the maximum deflection is directly proportional to density and the square of span, and inversely proportional to stress, but independent of diameter and elastic modulus

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