Beams and/or Elasticity

Topic: Beams and/or Elasticity Beam equation (possibilities include one or all of: Euler-Bernoulli, Rayleigh, Timoshenko), derivation of beam equation(s); nonlinear equations (large displacements); various boundary conditions; general solution. One could also consider 2-D (plates or shells) or 3-D elasticity (system of elasticity); tensor notation; general solutions; effects of nonlinearity. Bell Chapter 20 Active Link 1 https://en.wikipedia.org/wiki/Beam_(structure) Active Link 2 https://en.wikipedia.org/wiki/Linear_elasticity Active Link 3 http://coewww.rutgers.edu/~benaroya/publications/Han%20Benaroya%20and%20Wei%20JSV.pdf Active Link 4 https://en.wikipedia.org/wiki/Euler%E2%80%93Bernoulli_beam_theory Talk about: Damping, over damp and under damp, viscous damping or frictional damping damping in beam system and Kelvin-Voigt material Boundary Condition 3 types of beams with the boundary conditions: hinge, clumb, pin to pin, Cantilever beam Resisenance: natural frequency and other frequency Chladni patterns beam frequency Application Beam equation used in the vibrating system Euler Bernoulli beam theory