Static Assumption of Dynamic Conditions

Mathematics is a beautiful subject; solving the differentiation, Integration, and differential equation is pretty fun. The same applied to the application of Mathematics (primarily calculus) to Physics. However, some mathematical equations can’t be solved and sometimes become a nightmare for the physicist. These equations can be solved through certain assumptions, sometimes excluding three dimensions and sometimes time.

In Mechanical Engineering and other related domains, Dynamic conditions are encountered most of the time. It is a condition where the parameters vary with time, and we can’t ignore time in a particular situation. These conditions make mathematical equations quite complex and impossible to solve. Hence, the assumption of static for such dynamic conditions is required. Static condition is the condition where the parameter either does not vary with time or varies very slowly with time, such that the time parameters can be ignored.

All the dynamic conditions can’t be assumed static, but the ones with slow variation with time can be. In a situation where the assumption is not possible, we often do static analysis and multiply the overall required factor of safety by 1.5 or 2 to get the desired result for the dynamic condition. However, for dynamic analysis (an accurate one), parameter variation data with time at each timestep is required. This data is fed into the study, and the results are obtained and compared with static for further iterations.