The general topic of our project is Vibration, which is the science of studying the motion of object relative to a stationary frame of reference or nominal position (usually equilibrium). Vibration is evident everywhere and in many cases greatly affects the nature of engineering design. The vibration properties of engineering devices are often limiting Factors in their performance. Vibration can be harmful and should be avoided, or it can be extremely useful and desired. In either case, knowledge about vibration – how to analyze, measure, and control it, is desired.
Typical examples of vibration familiar to most are, the motion of guitar string, the quality of ride of an automobile, the motion of an airplane's wings, and the swaying of a large building due to wind or an earthquake. Vibration is modeled mathematically based on fundamental principles, such as Newton’s law, and its analyzed using results from calculus and differential equations. In addition, information and methods that are given in the useful for designing a particular system to have a specific response.
The physical explanation of the phenomena of vibration concerns the interplay between potential energy and kinetic energy. A vibration system must have a component that stores potential energy and releases it as kinetic energy in the form of motion of the mass. The motion of the mass then gives up kinetic energy to the potential energy storing device.
In many practical situations, the dynamic excitation is neither harmonic nor periodic. Thus we interested in studying the dynamic response of Single Degree of Freedom (SDF) system to excitation varying randomly with time. This result is used to study the response of the systems to step force, linearly increased force and step force with finite rise time. These results demonstrate how the dynamic response of the system is affected by the rise time.
In our project we will conduct a research in order to determine the effect of base motion upon the simple mass system and its response, different excitation forces are applied to the system in order to differentiate between their effects. The aim of these analyses is to eliminate the effect of the harmful vibrations to systems such as vehicle system and its occupational drivers, drivers whom exposed themselves to vibration for a long time, which might cause bad effects to their healthy and low back pain. So in this project we will go over the effects of the successive force in the single degree of freedom system and the effect of the base excitation forces to the second-degree of freedom system.