哈尔滨工程大学学报2018，Vol.39Issue(7)：1186-1190,5.DOI:10.11990/jheu.201703055
带倾斜薄板的梯形声场建模及其振声特性分析
Modeling of a trapezoidal sound field covered by an inclined panel and its vibro-acoustic analysis
摘要
Abstract
To model a trapezoidal sound field covered by an inclined panel , a modeling method for irregular sound field-structure coupling systems was proposed based on the Chebyshev-variational theory.A coupled model of in-clined panel-trapezoidal enclosed sound field is established under elastic restrained conditions .The vibration dis-placement and sound pressure are separately expressed as multiple Chebyshev polynomials .The Lagrangian func-tional of the structure and sound field are solved according to the Ritz method.The acoustic characteristic equation of the coupling system is obtained , and the natural frequency and mode shapes of the system are acquired.By com-paring with the finite element results , the accuracy of the present method is validated.In addition, considering the boundary conditions of the structure and the inclination angle of the sound field , the influence of the natural fre-quency of the coupled system is analyzed.It reveals that the existence of the inclination enhances the irregularity of the modal of sound field , and with an increase of the inclination , the panel-controlled frequency of the coupled sys-tem decreases successively , while the change of the cavity-controlled natural frequencies becomes complex.Fur-thermore, the release of the inclined boundary restraints of the panel results in an obvious decrease of the natural frequencies of each order of the system.关键词
梯形声场/非规则声场/Chebyshev级数/变分法/振声特性/结构-声耦合Key words
trapezoidal sound field/irregular sound field/Chebyshev series/variational theory/vibro-acoustic characteristics/vibro-acoustic coupling分类
建筑与水利引用本文复制引用
陈跃华,靳国永,刘志刚,王延召..带倾斜薄板的梯形声场建模及其振声特性分析[J].哈尔滨工程大学学报,2018,39(7):1186-1190,5.基金项目
国家自然科学基金项目(51505237) （51505237）
宁波市自然科学基金项目(2017A610081) （2017A610081）
宁波大学王宽诚幸福基金资助. （）
