计算力学学报2017，Vol.34Issue(3)：286-291,6.DOI:10.7511/jslx201703004
加热压电纤维复合材料圆板的横向自由振动
Transverse free vibration of heated piezoelectric fibre composite materials circular plates
摘要
Abstract
Based on the classical thin plate theory and the constitutive theory for orthotropic materials,the linear differential equations of vibration for circular plate of heated piezoelectric fibre composite materials are derived.By using a shooting method,the relationship curves of the dimensionless natural frequencies of the heated piezoelectric fibre composite circular plate versus temperature rise and electric field strength change are presented with clamped and simply supported boundary conditions.And the influence of the volume fraction of piezoelectric fibre,stiffness parameters,electric field strength and temperature rise on the dimensionless natural frequencies of piezoelectric fibre composite materials circular plate is also discussed.The results show that the dimensionless natural frequency of the piezoelectric fibre composite material circular plate monotonically decreases with the temperature.It decreases with decreasing the stiffness parameters,but increases with increasing electric field strength at certain fixed values of temperature.关键词
压电纤维复合材料/圆板/自由振动/固有频率/打靶法Key words
piezoelectric fibre composite materials/circular plates/free vibration/natural frequency/shooting method分类
数理科学引用本文复制引用
王硕,滕兆春..加热压电纤维复合材料圆板的横向自由振动[J].计算力学学报,2017,34(3):286-291,6.基金项目
国家自然科学基金(11662008)资助项目. （11662008）
