研究了初始载荷对一端固支一端简支梁静力特性的影响,得到了其静力计算的闭合解.引入了初始载荷影响系数以反映初始载荷的非线性效应,讨论了初始载荷的大小、梁的截面惯性矩和跨度对初始载荷影响系数的影响.结果表明:当存在初始载荷时,后续载荷所引起的静力反应会减小,其减小程度与初始载荷的大小和梁的刚度参数有关.建议在设计轻型及柔性结构时,对初始载荷的这种非线性影响予以适当考虑.%The effect of initial load on the static characteristics of beams fixed at one end and simply supported at the other end is studied. Based on a nonlinear differential equation of the static responses, the closed -form solutions of static responses for such beams are given, with the effect of initial load considered. An initial load influence factor is introduced to indicate the nonlinear effect of initial load and how it is affected by the magnitude of initial load,sectional moment of inertia and span of the beam is discussed. The results suggest that with the initial load in existence,the static responses induced by later-applied loads would be reduced, the extent of this reduction relates to the magnitude of initial load and stiffness of the beam, and such effect should be appropriately considered in the design of lightweight and flexible structures.
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