论文部分内容阅读
相似模型是近代研究工程技术问题的重要方法.制造模型的关键在于寻求良好的相似材料.目前线性材料容易选择,而非线性材料则难于配制,因此非线性的模拟迄今存在困难.作者建议将数学计算和模型方法结合起来,用线性材料模拟非线性问题.用数学方法证明了线性材料能模拟非线性稳定场.提出“逐步逼近模拟法”,变换线性材料的物理参数逐步模拟非线性场.说明了线性材料逐步逼近,迭代收敛的充分必要条件.举例说明了在通风网路和地下水渗滤中的应用.
Similar model is an important method to study engineering problems in modern times.The key of manufacturing model lies in finding good similar materials.Nowadays, linear materials are easy to choose, while non-linear materials are difficult to formulate.Therefore, Computation and model methods are combined to simulate nonlinear problems with linear materials. The mathematical method is used to prove that nonlinear materials can simulate non-linear stable fields. A “step-by-step approximation method” is proposed, and the physical parameters of linear materials are transformed to simulate nonlinear fields step by step. The necessary and sufficient conditions for the gradual approximation of linear materials and the convergence of iteration are given, and the application in ventilation networks and groundwater infiltration is illustrated.