Abstract Drop test produces a variety of shock pulses, these shock pulses can accurately be predicted using polynomial based nonlinear empirical relations. The aim of this study is to monitor and improve the reliability of such systems/structures/equipment that might face critical installations or unlikely shocks during transportation, otherwise catastrophic failure is difficult to avoid. Rubber Wave Generators (RWGs) in Drop Test Machines (DTMs) are generally used for producing sinusoidal shock pulse of specific time and height. Three types of RWGs are used for analyzing the behavior of the generated shock pulse. The nonlinear equation expressing the restoring and damping forces through cubic and quadratic nonlinear terms is formulated. Harmonic Balance Method (HBM) is used to solve the nonlinear equation. Each RWG is excited harmonically through its base. The nonlinear stiffness and damping terms are obtained experimentally by the use of suitable curve fitting techniques. The nonlinear equation is reformulated to predict the shock pulse during drop test. Drop tests ranges from low g to 156g are performed at different heights and weights. Results of both experimental and nonlinear equation waveforms are within prescribed range defined in JEDEC and MIL standards for all three RWGs. The results also show that the presented method has the ability to accurately predict the shock pulse shape, time and width at a range of heights and weights.

中文翻译：

---

使用橡胶波形发生器的非线性动态模型预测冲击脉冲

摘要 跌落试验会产生多种冲击脉冲，这些冲击脉冲可以使用基于多项式的非线性经验关系进行准确预测。本研究的目的是监测和提高此类系统/结构/设备的可靠性，这些系统/结构/设备在运输过程中可能面临关键安装或不太可能的冲击，否则难以避免灾难性故障。跌落试验机 (DTM) 中的橡胶波发生器 (RWG) 通常用于产生特定时间和高度的正弦冲击脉冲。三种类型的 RWG 用于分析产生的冲击脉冲的行为。通过三次和二次非线性项表达恢复力和阻尼力的非线性方程被公式化。谐波平衡法 (HBM) 用于求解非线性方程。每个 RWG 通过其基部被谐波激励。非线性刚度和阻尼项是通过使用合适的曲线拟合技术通过实验获得的。重新制定非线性方程以预测跌落测试期间的冲击脉冲。在不同的高度和重量下进行从低克到 156 克的跌落测试。实验和非线性方程波形的结果都在 JEDEC 和 MIL 标准中为所有三个 RWG 定义的规定范围内。结果还表明，所提出的方法能够准确预测一定高度和重量范围内的冲击脉冲形状、时间和宽度。在不同的高度和重量下进行从低克到 156 克的跌落测试。实验和非线性方程波形的结果都在 JEDEC 和 MIL 标准中为所有三个 RWG 定义的规定范围内。结果还表明，所提出的方法能够准确预测一定高度和重量范围内的冲击脉冲形状、时间和宽度。在不同的高度和重量下进行从低克到 156 克的跌落测试。实验和非线性方程波形的结果都在 JEDEC 和 MIL 标准中为所有三个 RWG 定义的规定范围内。结果还表明，所提出的方法能够准确预测一定高度和重量范围内的冲击脉冲形状、时间和宽度。