Two degree of freedom system solved problems. We will begin our discussion of MDOF systems by considering two degree of freedom (TDOF) systems which are the simplest. Consider an un-damped system with two degrees of freedom as shown in Figure 6. The number of degrees of freedom (DOF) of a system is the number of independent coordinates necessary to define motion. Consider the system shown in Figure 1 (b). Some examples of two degrees of freedom are shown. Find the natural frequencies for 2 DOF systems. 1a, where the masses are constrained to move in the direction of the spring axis and executing free vibrations. Describe higher DOF systems Solve problems involving forced vibrations. . Some examples of two degrees of freedom are shown. Assuming a harmonic solution for each coordinate, the equations of motion can be used to determine two natural frequencies, or modes, for the system. It provides the equations of motion and natural frequency equations for various 2DOF systems represented as masses connected by springs. This will help to illustrate all of the important features of MDOF systems while keeping the development as simple as possible. Explain how to use Eigenvalues in the solution. Also, the number of DOF is equal to the number of masses multiplied by the number of independent ways each mass can move. Define and determine the shape modes for 2 DOF systems. This document contains a quiz on two-degree-of-freedom systems with 11 multiple choice problems. The displacements are measured from the un-stretched positions of the springs. The equations of motion for a two degree of freedom system can be found using Newton’s second law. eois, d4tas1, zx9l7v, 1dvcm, 1ey0n, oqbhfw, s4zw, cvs4, y82r, uyhy3,