Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
This chapter considers the free and forced transverse vibration of beams. It derives the equations of motion of a beam according to the Euler‐Bernoulli, Rayleigh, and Timoshenko theories. The Euler‐Bernoulli theory neglects the effects of rotary inertia and shear deformation and is applicable to an analysis of thin beams. The Rayleigh theory considers the effect of rotary inertia, and the Timoshenko theory considers the effects of both rotary inertia and shear deformation. The equations of motion for the transverse vibration of beams are in the form of fourth‐order partial differential equations with two boundary conditions at each end. The responses of beams under moving loads, beams subjected to axial force, rotating beams, continuous beams, and beams on elastic foundation are considered using the thin beam (Euler‐Bernoulli) theory. The free vibration solution, including the determination of natural frequencies and mode shapes, is considered according to these three theories.
This chapter considers the free and forced transverse vibration of beams. It derives the equations of motion of a beam according to the Euler‐Bernoulli, Rayleigh, and Timoshenko theories. The Euler‐Bernoulli theory neglects the effects of rotary inertia and shear deformation and is applicable to an analysis of thin beams. The Rayleigh theory considers the effect of rotary inertia, and the Timoshenko theory considers the effects of both rotary inertia and shear deformation. The equations of motion for the transverse vibration of beams are in the form of fourth‐order partial differential equations with two boundary conditions at each end. The responses of beams under moving loads, beams subjected to axial force, rotating beams, continuous beams, and beams on elastic foundation are considered using the thin beam (Euler‐Bernoulli) theory. The free vibration solution, including the determination of natural frequencies and mode shapes, is considered according to these three theories.
Transverse Vibration of Beams
Rao, Singiresu S. (Autor:in)
Vibration of Continuous Systems ; 323-398
06.03.2019
76 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Analytical approach for transverse vibration analysis of castellated beams
| Online Contents | 2014
Transverse Free Vibration of Timoshenko Beams Resting on Viscoelastic Foundations
| British Library Conference Proceedings | 2014
Nonlinear damping and forced vibration behaviour of sandwich beams with transverse normal stress
| British Library Online Contents | 2017
Transverse normal stress in beams
| Engineering Index Backfile | 1963
Elastic Transverse Impact on Beams
| British Library Online Contents | 2006