Approximation Solution for the Zener Impact Theory

Collisions can be classified as completely elastic or inelastic. Collision mechanics theory has gradually developed from elastic to inelastic collision theories. Based on the Hertz elastic collision contact theory and Zener inelastic collision theory model, we derive and explain the Hertz and Zener collision theory model equations in detail in this study and establish the Zener inelastic collision theory, which is a simple and fast calculation of the approximate solution to the nonlinear differential equations of motion. We propose an approximate formula to obtain the Zener nonlinear differential equation of motion in a simple manner. The approximate solution determines the relevant values of the collision force, material displacement, velocity, and contact time.

Bilinear Systems with Initial Gaps Involving Inelastic Collision: Forced Response Experiments and Simulations

In this paper, the forced response of a two degree of freedom~(DOF) bilinear oscillator with initial gaps involving inelastic collision is discussed. In particular, a focus is placed upon the experimental verification of the generalized bilinear amplitude approximation (BAA) method, which can be used for the accurate estimation of forced responses for bilinear systems with initial gaps.Both experimental and numerical investigations on the system have been carried out. An experimental setup that is capable of representing the dynamics of a two DOF oscillator has been developed, and forced response tests have been conducted under swept-sine base excitation for different initial gap sizes. The steady-state response of the system under base excitation was computed by both traditional time integration and BAA. It is shown that the results of experiments and numerical predictions are in good agreement especially at resonance. However, slight differences in the responses obtained from both numerical methods are observed. It was found that the time duration where the DOFs are in contact with each other predicted by BAA is longer than that predicted by time integration. Spectral analyses have also been conducted on both experimental and numerical results. It was observed that in a frequency range where intermittent contact between the masses occurs, super-harmonic components of the excitation frequency are present in the spectra. Moreover, as the initial gap size increases, the frequency band where the super-harmonic components are observed decreases.

Life Case: Inelastic Collision based Automobile Crash Detection and Alert System via 3G Network

Accident detection and alert systems that can pinpoint the whereabouts of an accident are crucial to ensure the concerned authorities are informed instantaneously about the occurrence of an accident, in order for the deployment of emergency response to save lives in the least amount of time. A 3G incorporated accident detection system, known as Life Case is designed to discover the accidents between automobiles and, send the timestamp, and the actual position of an accident, to a developed android application built using Android Studio, via a cloud database. The alert message is presented using Google Maps which helps user to save plenty of time through easy navigation feature towards the accident location. Life Case measures the acceleration of an automobile during a collision using the Theory of Inelastic Collision.