Dynamic analysis of non-uniform beams with time dependent elastic boundary conditions

Sen Yung Lee, Shueei Muh Lin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Tile dynamic response of a non-miifoim beam witli tune dependent elastic bomidary conditions is studied by geiieralizuig tile metliod of Muidlm-Goodnian and utilizing tlie exact solutions of general elastically restramed noii-miifonn beams given by Lee and Kuo. The time dependent elastic bomidary conditions for the beam are formulated. A general fonn of change of dependent variable is uitroduced and tlie slufting polynomials of tlie tliird order degree, instead of tlie fifth order degree polynomials taken by Muidlhi-Goodinau, are selected. 'Hie physical meaning of these slufthig polynomial fmictions are explored. Finally, tlie liinituig case.s are discussed and several exainple.s are given to illustrate tlie analysis.

Original languageEnglish
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages431-436
Number of pages6
ISBN (Electronic)9780791817186
DOIs
Publication statusPublished - 1995
EventASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium - Boston, United States
Duration: 1995 Sept 171995 Sept 20

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume3A-1995

Conference

ConferenceASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
Country/TerritoryUnited States
CityBoston
Period95-09-1795-09-20

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modelling and Simulation

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