Abstract:
In response to the extreme shock environments encountered during spacecraft launch, explosive separation, and landing, a nonlinear dynamic model based on the Duffing equation was proposed for the precise prediction and control of half-sine waveforms generated by rubber waveform generators in high-grade impact testing. The dynamic equation for the waveform generator was derived based on a nonlinear elastic force model; the Runge-Kutta method was employed for numerical solutions. By applying the principle of equivalent stiffness, a numerical simulation model of the waveform generator was established, and half-sine waveform simulations were conducted using a pneumatic impact testing machine. Based on the shock test data, a local search optimization algorithm was used to optimize the model parameters. The test validation results demonstrate that the predicted acceleration peak and pulse width closely match the experimental results, with errors less than 10% and 5%, respectively. This model provides a theoretical foundation and technical support for the prediction and control of waveforms in high-grade impact testing.