讨论了摩擦接触系统的建模与求解问题.将系统方程组的多极边界元法求解归结为变分问题并证明其等价性.在系统最优化数学模型的基础上,通过引入严格凸二次函数建立系统的二次规划模型,证明其最优解存在且唯一,并给出模型求解的最优性条件.%Model building and Fast Multipole Boundaiy Element Method (FM-BEM) solution are studied for the frictional contact system. The solution of the system of equations is reduced to a variational problem. They are proved to be equivalent. On the basis of the optimization mathematical model for the frictional contact system, a quadratic programming model is established by introducing a strictly convex quadratic function. Its optimum solution is demonstrated to be existent and unique. In addition, optimality conditions are presented for the new model.
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