{"title":"动力作用下Timoshenko梁强迫振动响应的模态分析方法","authors":"Nguyen Thi Van Huong, Nguyen Sy Nam, N. Khang","doi":"10.51316/jst.156.etsd.2022.32.1.9","DOIUrl":null,"url":null,"abstract":"The dynamic response of a structure subjected to moving loads is an interesting and meaningful research subject in various engineering fields such as bridges, roadways, railways and aircrafts. A vast number of studies has employed the vibration model of the Euler-Bernoulli beam to calculate the dynamic response of a beam structure under the action of moving loads. The present paper deals with the dynamic response of an uniform Timoshenko beam subjected to a moving force. Properties of the natural frequencies and modes of the Timoshenko beam are discussed. Using the modal method, a procedure for calculating the forced vibrations of the Timoshenko beam has been proposed. It is shown that the solution of the forced vibration for the transverse displacement and the rotation of the cross section of the beam can be expressed in form of a sum of two infinite series. The numerical simulation result shows that the speed change of the moving force has little effect on the beam deflection, but its magnitude change greatly affects the beam deflection.","PeriodicalId":17641,"journal":{"name":"JST: Engineering and Technology for Sustainable Development","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical Evaluation of the Forced Vibration Response of a Timoshenko Beam Subjected to a Moving Force Using the Modal Analysis Approach\",\"authors\":\"Nguyen Thi Van Huong, Nguyen Sy Nam, N. Khang\",\"doi\":\"10.51316/jst.156.etsd.2022.32.1.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The dynamic response of a structure subjected to moving loads is an interesting and meaningful research subject in various engineering fields such as bridges, roadways, railways and aircrafts. A vast number of studies has employed the vibration model of the Euler-Bernoulli beam to calculate the dynamic response of a beam structure under the action of moving loads. The present paper deals with the dynamic response of an uniform Timoshenko beam subjected to a moving force. Properties of the natural frequencies and modes of the Timoshenko beam are discussed. Using the modal method, a procedure for calculating the forced vibrations of the Timoshenko beam has been proposed. It is shown that the solution of the forced vibration for the transverse displacement and the rotation of the cross section of the beam can be expressed in form of a sum of two infinite series. The numerical simulation result shows that the speed change of the moving force has little effect on the beam deflection, but its magnitude change greatly affects the beam deflection.\",\"PeriodicalId\":17641,\"journal\":{\"name\":\"JST: Engineering and Technology for Sustainable Development\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JST: Engineering and Technology for Sustainable Development\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.51316/jst.156.etsd.2022.32.1.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JST: Engineering and Technology for Sustainable Development","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.51316/jst.156.etsd.2022.32.1.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical Evaluation of the Forced Vibration Response of a Timoshenko Beam Subjected to a Moving Force Using the Modal Analysis Approach
The dynamic response of a structure subjected to moving loads is an interesting and meaningful research subject in various engineering fields such as bridges, roadways, railways and aircrafts. A vast number of studies has employed the vibration model of the Euler-Bernoulli beam to calculate the dynamic response of a beam structure under the action of moving loads. The present paper deals with the dynamic response of an uniform Timoshenko beam subjected to a moving force. Properties of the natural frequencies and modes of the Timoshenko beam are discussed. Using the modal method, a procedure for calculating the forced vibrations of the Timoshenko beam has been proposed. It is shown that the solution of the forced vibration for the transverse displacement and the rotation of the cross section of the beam can be expressed in form of a sum of two infinite series. The numerical simulation result shows that the speed change of the moving force has little effect on the beam deflection, but its magnitude change greatly affects the beam deflection.