Abstract
The nonlinear dynamical equations of tilted support spring packaging system with critical components were obtained under the action of half-sine pulse. To evaluate the shock characteristics of the critical components, a new concept of three-dimensional shock response spectrum was proposed. The ratio of the maximum shock response acceleration of the critical components to the peak pulse acceleration, the dimensionless pulse duration, and the frequency parameter ratio of system or the angle of tilted support spring system were three basic parameters of the three-dimensional shock response spectrum. Based on the numerical results, the effects of the peak pulse acceleration, the angle of the tilted support spring, the frequency parameter ratio, and the mass ratio on the shock response spectrum were discussed. It is shown that the effects of the angle of the tilted support spring and the frequency ratio on the shock response spectrum are particularly noticeable, increasing frequency parameter ratio of the system can obviously decrease the maximum shock response acceleration of the critical components, and the peak of the shock response of the critical components can be decreased at low frequency ratio by increasing mass ratio.
Highlights
The main dynamic factors to cause the damage of product are shock and vibration in the transportation; it is extremely important to protect product by the study on shock characteristics and corresponding evaluations of packaging system. Newton s damage boundary concept [1] is the foundation for the present packaging design
The dropping damage boundary concept has been proposed by Wang [4] to evaluate the dropping damage of products for nonlinear packaging system and expand to the two degrees of freedom of packaging system with critical components [5, 6]
In [11], the nonlinear dynamical equations of tilted support spring are obtained under the action of rectangular pulse; the ratio of the maximum shock response acceleration of system to the peak acceleration of pulse, the dimensionless pulse duration, and the angle of system are three basic parameters of the three-dimensional shock response spectra, and the effects of the peak pulse acceleration and the damping of system on the shock response were introduced
Summary
The main dynamic factors to cause the damage of product are shock and vibration in the transportation; it is extremely important to protect product by the study on shock characteristics and corresponding evaluations of packaging system. Newton s damage boundary concept [1] is the foundation for the present packaging design In this theory, the product packaging system was considered to be single degree of freedom undamped linear system. In [11], the nonlinear dynamical equations of tilted support spring are obtained under the action of rectangular pulse; the ratio of the maximum shock response acceleration of system to the peak acceleration of pulse, the dimensionless pulse duration, and the angle of system are three basic parameters of the three-dimensional shock response spectra, and the effects of the peak pulse acceleration and the damping of system on the shock response were introduced. The results provide theoretical foundations for the design of the tilted support spring system
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