Nonlinear random response of internally hinged beams
Nonlinear responses of beams with an internal hinge under stationary, ergodic, Gaussian and zero mean uniform random pressure are studied. Two types of support condition: clampedclamped and clampedsimply supported are considered. The equivalent linearization method is employed on the basis of finite element modal formulation to assess the influence of hinge location on root mean square (RMS) maximum deflection and RMS maximum micro-strain. The internal hinge is modeled with two transition elements that proved to be effective and convenient. Internal hinge location is optimized based upon lowest RMS maximum deflection and/or micro-strain. Numerical simulation results are obtained and compared with results from equivalent linearization to show the good agreement between the two methods.
random response internally hinged beams nonlinear finite element analysis