Abstract
Transient vibrations of elastically connected double-beam systems are analyzed taking into account the effects of shear deformation and rotary inertia in accordance with the Timoshenko beam theory. The Finite Integral Transform technique is successfully applied to the elastically coupled two Timoshenko beams having different cross sections and being made of different materials, which are intractable by most other analytical methods. The analytical solution by the present technique results in a series expansion form in terms of generalized orthogonal eigenfunctions defined by the boundary value problem associated with the equations of motion for the system. By solving the boundary value problem, it is shown that there exist four series of eigenvalues and eigenfunctions. Transient responses due to impulsive loading as well as step loading are analyzed and compared with the case of the Bernoulli-Euler double-beam system. It is found that the Timoshenko double-beam system behaves in a slightly different manner from that of the Bernoulli-Euler double-beam system.
Published Version (
Free)
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 callMore From: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
Disclaimer: 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.
