非線形はりの同定法 : 第1報,同定法の提案

非線形はりの同定法 : 第1報,同定法の提案
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非线性梁辨识方法:第1部分,辨识方法的建议

DOI:
10.1299/kikaic.55.1609
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发表时间:
1989
期刊:
Transactions of the Japan Society of Mechanical Engineers. C
影响因子:
--
通讯作者:
恵輔 神谷
恵輔 神谷
中科院分区:
--
文献类型:
--
作者:
仁彦 安田;恵輔 神谷

文献摘要

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作为发展基于动态响应的非线性分布系统辨识技术的基础,提出了一种基于非线性分布系统的简单实例的辨识技术。所举的例子是一个简支梁的大振幅振动。该方法的基本步骤是:(1)测量梁对周期激励的周期响应;(2)根据相应线性梁的模态函数确定模态坐标;(3)利用谐波平衡原理确定包含非线性项的模态方程。给出了一些数值例子,并证明了所提出的技术是适用的。
As a basis for developing an identification technique of nonlinear distributed systems based on their dynamical responses, an identification technique is proposed based on a simple example of nonlinear distributed systems. The example taken up is a simply supported beam vibrating with large amplitudes. The basic procedures of the proposed technique are: (1) measuring periodic responses of the beam to periodic excitations; (2) determining modal coordinates using the responses based on the modal functions of the corresponding linear beam; and (3) determining the modal equations including nonlinear terms using the principle of harmonic balance. Some numerical examples are given, and the technique proposed is shown to be applicable.