瑞利耗散函数
Rayleigh's dissipation function at work
摘要：
它表明，瑞利耗散函数可以成功地应用于解决力学问题，涉及摩擦非线性的速度。通过对接触表面的研究，我们得到了一个简单的积分表达式，它直接给出了广义坐标下的瑞利耗散函数。用这种方法，有摩擦力的拉格朗日问题的解决方案减少到经常基本计算的动能，势能和瑞利耗散函数。给出了一些教学兴趣的例子。
英文摘要：
It is shown that the Rayleigh's dissipation function can be successfully applied in the solution of mechanical problems involving friction non-linear in the velocities. Through the study of surfaces at contact we arrive at a simple integral expression which gives directly the Rayleigh dissipation function in terms of generalized coordinates. In this way the solutions of Lagrangian problems with friction are reduced to often elementary calculations of the kinetic energy, the potential energy and the Rayleigh dissipation function. Some examples of pedagogical interest are given.
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