摘要
为了利用能量有限元方法得到圆柱壳体任意一点的高频振动响应,根据薄壳理论和能量平衡关系,推导了圆柱壳弯曲振动能量密度的控制方程,并运用有限元方法对圆柱壳弯曲振动能量密度的控制方程进行了求解.计算了3种不同激励下圆柱壳的能量密度分布,并对能量有限元方法和统计能量方法的计算结果进行了比较.有限元方法的分析表明,使用能量有限元方法能够获得更详细的结构振动响应信息,而用统计能量法只能得到整个圆柱壳体的平均能量信息,推导得出的能量密度方程与梁的能量密度方程类似,只适用于计算圆柱壳高频轴对称弯曲的振动响应.
To obtain detail information of high-frequency vibration in cylindrical shell, the governing equation of energy density about bending vibration in cylindrical shell is developed based on the relationship of an energy balance and thin shell theory. A deduced second order equation models the far field energy distribution. The resulting equation is solved by means of finite element method. A comparison between the results of energy finite element analysis and statistical energy analysis indicates that the energy finite element analysis enables to get more detail information of high-frequency vibration. This governing equation is similar to the beam equation for only highfrequency axisymmetric bending vibration response of cylindrical shell.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2008年第9期1113-1116,共4页
Journal of Xi'an Jiaotong University
关键词
有限元分析
圆柱壳体
高频振动
控制方程
finite element analysis
cylindrical shell
high-frequency vibration
governing equation
