We generalize the traditional Hamilton principle and give a complete nonlinear
mathematical model of thermoelastic beams with voids based on this generalization,
including the influences of the axial force, neutral layer inertia and rotation inertia.
The differential quadrature method is used to discrete the nonlinear system on
the spatial domain, and the Newton–Raphson method and Runge–Kutta
method are adopted to solve the static and dynamical behaviors of the beam,
respectively. The influences of the parameters on the nonlinear mechanical
behavior of beam are studied in detail. The results show that the presence of
voids enlarges beam deflection. And also one can see that the DQM has
advantages of fewer workload, higher precision, better convergence, and so
on.
Keywords
generalized Hamilton variational principle, thermoelastic
beam with voids, differential quadrature method, nonlinear
mechanical behavior