On Implementing General Modal Analysis Within The Mathcad® Software Package

Abstract

A general Mathcad 1 model is presented to simulate the suspension dynamics of a small off-road vehicle designed for the SAE Mini-Baja collegiate competition. The model uses the method of Modal Analysis to solve the multiple degree-of-freedom dynamic system. Model variations addressing both front quarter car dynamics (with tire stiffness effects) and half car pitch/heave dynamics are discussed, each subject to arbitrary forcing. The model presented, generated as part of a student project within the senior Machine Vibrations class at Oklahoma Christian University, allows the students to integrate several analytical techniques into a single computational design tool. With the simulation process automated within Mathcad, the student designer is free to concentrate on parametric studies and optimization of the suspension response. Moreover, the presented model allows the designer to consider realistic (i.e. arbitrary) off-road ground profiles. The educational strengths of this integrated Mathcad model are discussed.