Influence of Spring Layout on Analytical Value of Flexural Vibration Concerning Membrane Analytical Model Using Multi Particle Method

While analyzing membrane dynamic characteristics, Multi Particle Method (MPM) has several advantages than Finite Element Method (FEM). This paper presents the influence of spring allocation on the analytical value of flexural vibration using MPM. Two MPM models, one is using parallelogram element and the other is using rectangular element, and FEM model as a reference are used for comparison of the accuracy evaluations. Flexural vibration phenomenon is selected for the comparison of the eigenvalue analysis under applying a shear force upon rectangular membrane. Analytical accuracies of the eigenvalue of the membrane flexural vibration are found to be very much dependent on the shear force value and the spring allocation of the analytical model of MPM.