摘要
基于传递矩阵方法,提出了一种求解含多条裂纹变截面简支梁固有频率的新方法。针对一类可推导振型函数的变截面梁结构,采用无质量弯曲弹簧来等效梁结构上的横向裂纹,推导出含变截面参数和裂纹几何参数的整段变截面梁传递矩阵;根据简支梁的边界条件,得到含裂纹变截面简支梁的特征传递矩阵,研究变截面参数、裂纹条数和裂纹几何参数对变截面简支梁固有频率的影响。结果表明:裂纹对变截面梁模态的影响非常大,会显著降低变截面简支梁的各阶固有频率。
Based on the transfer matrix method,a new method was proposed to solve natural frequencies of a variable cross-section beam with multi-crack.Aiming at a kind of variable cross-section beams with their vibration modal shape functions being able to be deduced,some bending springs without mass were used to be equivalent transverse cracks,the transfer matrix for a typical segment of a beam with variable cross-section parameters and crack geometric parameters was derived.Then,according to boundary conditions of simply supported beam,the characteristic transfer matrix of the whole variable cross-section simply supported beam with multi-crack was derived to study effects of variable cross-section parameters,crack number and crack geometric parameters on natural frequencies of the beam.Results indicated that effects of cracks on vibration modes of the variable cross-section beam are very large,they can significantly reduce each order natural frequency of the variable cross-section simply supported beam.
作者
马一江
李园园
陈国平
赵颖杰
MA Yijiang;LI Yuanyuan;CHEN Guoping;ZHAO Yingjie(School of Naval Architecture and Ocean Engineering,Jiangsu University of Science and Technology,Zhenjiang 212003,China;College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;School of Mechanical Engineering,University of Jinan,Jinan 250022,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2019年第19期149-154,共6页
Journal of Vibration and Shock
基金
江苏高校优势学科建设工程基金资助
关键词
变截面梁
裂纹
固有频率
传递矩阵法
variable cross-section beam
crack
natural frequency
transfer matrix method
