摘要
基于Rayleigh-Ritz法分析任意边界条件下硬涂层阻尼变厚度薄壁圆柱壳的固有振动特性。首先,采用傅里叶级数展开式将变厚度圆柱壳的基体厚度展开为一个统一的厚度变化函数;其次,利用人工弹簧技术模拟任意边界条件,并采用Flügge壳理论建立硬涂层变厚度薄壁圆柱壳的动力学模型;最后,推导Lagrange动力学能量泛函方程,求解得到壳体的固有频率和模态损耗因子。通过与现有文献和有限元仿真结果对比,验证方法的有效性。研究表明,平动弹簧对壳体的固有频率影响较大;固有频率在5种边界条件下随周向波数的升高呈现出先减小后增大的趋势,E1-E1边界条件对模态损耗因子的影响最大;硬涂层的厚度和杨氏模量会影响壳体的固有频率和模态损耗因子。
The natural vibration characteristics of hard-coating damping thin-walled cylindrical shell with variable thickness under arbitrary boundary conditions were analyzed based on the Rayleigh-Ritz method.Firstly,the Fourier series expansion was employed to express the substrate thickness of the variable thickness cylindrical shell.Secondly,the artificial spring technique was used to simulate the arbitrary boundary conditions.Furthermore,based on the Flügge shell theory,the dynamical model of hard-coating damping thin-walled cylindrical shell with variable thickness was established.Finally,the Lagrange dynamical equation was derived and solved to obtain the natural frequency and modal loss factor of the shell.The effectiveness of the method was verified by comparing the results with those of existing literature and finite element simulation.The research demonstrates that the translational spring has a significant influence on the natural frequency of the shell.The natural frequency presents a trend of initially decreasing and then increasing with the growth of the circumferential wave number under five boundary conditions,and the E1-E1 boundary condition has the greatest impact on the modal loss factor.The thickness of the hard-coating and Young′s modulus can affect the natural frequency and the modal loss factor of the shell.
作者
常宇枫
王宇
贾小羽
王鹏
谷月
CHANG Yufeng;WANG Yu;JIA Xiaoyu;WANG Peng;GU Yue(College of Mechanical Engineering and Automation,Liaoning University of Science and Technology,Anshan 114051,Liaoning,China;College of Sciences,Liaoning University of Science and Technology,Anshan 114051,Liaoning,China)
出处
《噪声与振动控制》
北大核心
2025年第5期46-52,共7页
Noise and Vibration Control
基金
国家自然科学基金面上资助项目(51775257,51775258)
辽宁省教育厅面上资助项目(LJKMZ20220637)。
关键词
振动与波
变厚度薄壁圆柱壳
硬涂层阻尼
任意边界条件
Rayleigh-Ritz法
振动特性
vibration and wave
thin-walled cylindrical shell with variable thickness
hard-coating damping
arbitrary boundary conditions
Rayleigh-Ritz method
vibration characteristics
