Abstract The aim of this paper is to validate experimentally a nonlinear model of a kinematically excited hinged-simply supported beam with a spring subjected to one end. An experimental setup configuration enables to test different variants of axial boundary conditions: first a typical simply supported beam (no spring), and next two different spring systems. The prototype is kinematically excited with different amplitudes of excitation and then full frequency response curves are drawn wherein hardening/softening dichotomy is recognized. A set of mechanical properties of the system is identified and then used to reproduce tests with finite element simulations. Consequently numerical vs. experiment results are compared. The analysis demonstrates amplitude dependent damping as well as that the natural frequency depends on environmental conditions, and thus may change over experiments.

中文翻译：

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带有一端轴向线性弹簧的铰链简支梁的硬化与软化二分法：实验和数值研究

摘要 本文的目的是通过实验验证一个运动学激励铰链简支梁的非线性模型，该梁的一端带有弹簧。实验设置配置能够测试轴向边界条件的不同变体：首先是典型的简支梁（无弹簧），然后是两个不同的弹簧系统。原型用不同的激励幅度进行运动激励，然后绘制完整的频率响应曲线，其中识别出硬化/软化二分法。系统的一组机械特性被识别，然后用于通过有限元模拟重现测试。因此比较了数值与实验结果。分析表明振幅相关阻尼以及固有频率取决于环境条件，