Bending Waves in a Beam
The beam possesses the symmetry plane xy, with x the axis of the beam, and transverse deflections y(x,t) within this plane;
The material of the beam is elastic and homogeneous with density p, Young’s E and shear G module;
The longitudinal ε x and shear ε xy = ε xy strains are small compared with unity;
The square of the deformed axis slope \(\psi = \partial y/\partial x \) is small compared with unity, then \(\sin \psi \approx \psi ,\cos \psi \approx 1 \). At first, the cross-sectional area A and the moment of inertia of the beam cross section J are assumed constant.
KeywordsTimoshenko Beam Beam Cross Section Transverse Deflection Homogeneous Beam Element Velocity
Unable to display preview. Download preview PDF.