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Paper III.2

Nonlinear Vibration of a Beam with Fixed Ends

P.H. McDonald

Civil Engineering Department, North Carolina State University, Raleigh, United States of America

doi:10.4203/ccp.63.3.2

P.H. McDonald, "Nonlinear Vibration of a Beam with Fixed Ends", in B. Kumar, B.H.V. Topping, (Editors), "Computing Developments in Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 65-69, 1999. doi:10.4203/ccp.63.3.2

Abstract

This paper analyzes the vibration of a beam wit11 hinged ends that are restrained. The beam is subjected to a loading which is parabolic in intensity about the center point, and is released from rest when the load is suddenly removed. The resulting motion is shown to be inherently nonlinear, even for small vibrations, and each of the modes is dynamically coupled to all other modes. The frequencies are functions of the initial conditions, especially the amplitudes.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 63 COMPUTING DEVELOPMENTS IN CIVIL AND STRUCTURAL ENGINEERING Edited by: B. Kumar and B.H.V. Topping Paper III.2 Nonlinear Vibration of a Beam with Fixed Ends P.H. McDonald Civil Engineering Department, North Carolina State University, Raleigh, United States of America doi:10.4203/ccp.63.3.2 purchase the full-text of this paper Full Bibliographic Reference for this paper P.H. McDonald, "Nonlinear Vibration of a Beam with Fixed Ends", in B. Kumar, B.H.V. Topping, (Editors), "Computing Developments in Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 65-69, 1999. doi:10.4203/ccp.63.3.2 Abstract This paper analyzes the vibration of a beam wit11 hinged ends that are restrained. The beam is subjected to a loading which is parabolic in intensity about the center point, and is released from rest when the load is suddenly removed. The resulting motion is shown to be inherently nonlinear, even for small vibrations, and each of the modes is dynamically coupled to all other modes. The frequencies are functions of the initial conditions, especially the amplitudes. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £66 +P&P)
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