偏心荷载下薄板基底压力非线性分布数学模型

Mathematical model for nonlinear pressure distribution of thin plate under eccentric load

利用压力测量系统实测薄板基底压力的分布情况,研究在偏心荷载作用下薄板基底压力的分布形式,建立了偏心荷载作用下薄板基底压力分布数学模型。将所建立的数学模型值和传统的线性假设分别与通过压力测量系统所测得的薄板基底压力试验值进行对比并作误差分析,数学模型与试验值的平均误差12.12%远小于线性假设与试验值的平均误差29.14%。结果表明:在偏心荷载下,薄板基底压力的分布用本文建立的数学模型来描述相对于传统的线性假设更准确。

Using the pressure measurement system to measure the distribution of the base pressure in the thin plate,the distribution of the base pressure in the thin plate under the eccentric load was studied,and the mathematical model of the base pressure distribution under the eccentric load was established.The established mathematical model and the traditional linear hypothesis was compared with the experimental values of the base pressure on the thin plate measured by the pressure measuring system and the error analysis was made.The average error between the mathematical model and the test value was 12.12%,which was much smaller than the average error between the linear hypothesis and the test value by 29.14%.The results showed that the model was more accurate than the traditional linear assumption in describing the pressure distribution of thin plate under eccentric load.