一类自由振动方程的定解问题  

The Definite Solution of a Class of Free Vibration Equations

作　　者：许佰雁[1] XU Bai-yan(Basic Research Section,Changchun Guanghua University,Changchun Jilin,130033)

机构地区：[1]长春光华学院基础部,吉林长春130033

出　　处：《山西大同大学学报（自然科学版）》2020年第1期29-30,共2页Journal of Shanxi Datong University(Natural Science Edition)

基　　金：长春光华学院青年科研重点基金项目[QNJJZD2019005]。

摘　　要：梁结构广泛应用于航天工业、土木工程、建筑工程等领域,针对一类无限长梁的自由振动方程,利用傅里叶变换、逆变换及菲涅尔积分相关知识,证明该自由振动方程定解的存在性,并求出了定解。Beam structure is widely used in aerospace industry,civil engineering,building engineering and other fields.In this pa⁃per,the free vibration equation of a class of infinite beam is proved to exist by using the knowledge of Fourier transform,inverse trans⁃form and Fresnel integral,and the definite solution is obtained.

关 键 词：傅里叶变换 自由振动方程 定解 

分 类 号：O175[理学—数学]