报告题目：Explicit approximate frequency–amplitude relationships for conservative nonlinear oscillators

报 告 人： 吴柏生

所在单位：广东工业大学 机电工程学院

报告时间：2026年2月25日 10：00-11：00

报告地点：吉林大学正新楼105室

报告摘要：

The frequency-amplitude relationship is of great significance for understanding oscillatory systems, as it determines the dynamic behavior and response of these systems. This paper presents explicit and highly accurate frequency-amplitude relationships for conservative nonlinear symmetric and asymmetric oscillators. The proposed approach consists of two steps: first, constructing the potential energy function of the oscillator; and second, introducing variable transformations and applying the two- and three-node Gaussian-Legendre quadrature formulas. The derived formulas are applicable to both small-amplitude and large-amplitude oscillations. Their effectiveness has been demonstrated through three representative examples, which cover both symmetrical oscillators and asymmetrical oscillators.

报告人简介：

吴柏生，广东工业大学教授。主要从事结构静动力重分析与优化、非线性振动、结构稳定性等方面的研究。目前，已发表SCI收录论文120余篇，被SCI期刊他引2000余次。负责完成国家自然科学基金课题5项。获得包括德国洪堡学者、教育部新世纪优秀人才支持计划、政府特殊津贴等学术奖励。