Nonlinearity and periodic solution of a standard-beam balance oscillation system

We present the motion equation of the standard-beam balance oscillation system,whose beam and suspensions,compared with the compound pendulum,are connected flexibly and vertically.The nonlinearity and the periodic solution of the equation are discussed by the phase-plane analysis.We find that this kind of oscillation can be equivalent to a standard-beam compound pendulum without suspensions;however,the equivalent mass centre of the standard beam is extended.The derived periodic solution shows that the oscillation period is tightly related to the initial pivot energy and several systemic parameters:beam length,masses of the beam,and suspensions,and the beam mass centre.A numerical example is calculated.     

广西分析测试研究中心简介

广西测试中心(原名广西测试中心站)于1978年开始筹建。次年与原广西计量管理处实验室合并成立广西计量测试研究所,属自治区计量局领导。83年冬,经自治区人民政府同意,将该所分析测试室划归自治区科委领导,恢复成立广西测试中心,继续进行筹建。84年改称“广西壮族自治区分析测试研究中心”。