Analysis of Automotive Valve Train Springs

Within the field of applied mathematics, it is often the case that a general solution to a particular problem can be used to and its own initial parameter values. The application of this problem-solving technique ranges from simple first order differential equations to systems of multi-dimensional partial differential equations. This thesis gradually progresses from the former to the latter, with an emphasis on automotive engine functionality. Ultimately, an initial physical understanding of the internal combustion engine is enhanced by employing the equations of motion for automotive valve train springs. Through the use of mathematical programming software, it becomes possible to solve such equations and even model various behaviors of these helical rods