标题：Energy Finite Element Analysis of n-shaped Plate Structures with Three Types of Wave
作者：Niu Junchuan; Li Kunpeng
作者机构：[Niu Junchuan] Shandong Univ, Sch Mech Engn, Jinan 250100, Peoples R China.; [Niu Junchuan; Li Kunpeng] Jilin Univ, State Key Lab Automot Simulat & 更多
通讯作者地址：[Niu, JC]Shandong Univ, Sch Mech Engn, Jinan 250100, Peoples R China.
来源：JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES
关键词：Energy flow finite element analysis; n-shaped plate; Transmission; coefficient; Energy density
摘要：The Energy Flow Finite Element Analysis (EFFEA) is a novel method which has been used successfully to predict the vibrational or acoustical response of many coupled structures at mid and high frequencies. In dealing with the vibration of the coupled plate structures by EFFEA, most of the researchers generally considered of the flexural vibration only, while the in-plane vibrations were neglected for simplicity. It is correct and reliable only for the cases that the coupled structures are thin walled and they usually vibrates at low frequencies. In the paper, flexural and in-plane vibrations or three types of wave, i.e. flexural, longitudinal and shear waves being simultaneously taken into account for predicting the vibration of the n-shaped plate structures in mid and high frequencies, the transmission and reflection coefficients at the junction are derived with the half n-shaped or L-shaped plate model, and then the variations of the coefficients with respect to incident angles are discussed. For analyzing the coupling relationship at the junction, coupling elements are introduced to build the coupling matrix. Based on a special procedure to deal with the global matrix assembly, the energy flow finite element analysis of the n-shaped plate is performed to solve the energy density. The numerical examples exhibit the energy density distributions and visualize the energy flux.