In this lecture we discovered the principle of “reciprocity” for the static deflection of linear systems. The MATHEMATICAL consequence: The flexibility matrix [A] is symmetric. The COMPUTATIONAL ...

In analysis, it is common practice to conceptualize structures, objects, and isolation systems as basic mass-spring-damper models, as depicted in Figure 42.1. All objects experience vibration when ...

Consider the 10-DOF spring/mass system shown below. An impulsive force is applied to the left-most particle in the system. The response of the system can readily be found from a modal expansion, ...