Abstract
Abstract A closed-form displacement response of beam-type structures to moving line loads is proposed in this paper. Green’s function of the beam on an elastic foundation is obtained by means of Fourier transform. The theory of linear partial differential equation is used to represent the displacement of the beam in terms of convolution of the Green’s function. To evaluate this convolution analytically, the theory of complex function is employed to seek the poles of the integrand of the generalized integral. All the poles are identified and given in a closed form. Theorem of residue is then utilized to represent the generalized integral using contour integral in the complex plane. Closed-form displacement is provided and numerical computation is performed. The numerical results show that maximum displacement of a beam with material damping occurs behind the moving load. Also, the maximal dynamic displacement reaches its maximum as the load moves at the critical speed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
