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本文应用实验方法,对具有附加单面点约束的悬臂梁,在给定初始条件下的自由振 动进行探索性的研究.由于梁的非线性边界条件,使其表现出异乎寻常的动力行为、在实验 中发现了许多十分罕见的奇异现象.除了梁与附加支座的碰触周期是无序之外。附加支撑反 力的幅值并不是单调地衰减,而是随时间呈多次起伏,颇似“拍频”,仿佛受到某种调 制,此外,还发现梁的动力行为敏感地依赖于附加支撑点的位置.
In this paper, the experimental method is used to study the free vibration of a cantilever beam with an additional single-point constraint under a given initial condition. Due to the non-linear boundary conditions of the beam, which make it exhibit unusual dynamic behavior, many very strange singularities were found in the experiment. Except that the contact period between the beam and the additional support is out of order. The magnitude of the additional supporting reaction force does not decay monotonically, but fluctuates more than once over time, akin to “beat frequency,” as if modulated by some kind of modulation. In addition, the dynamic behavior of the beam is found to be sensitively dependent on additional support points s position.