介绍一种新型可以满足小型矿井提升系统重量要求的防坠器结构设计和工作原理；
To introduce and explain the structure and working method of a new type of fall-proof machine, used in small mine, which meets the weight demand of the hoisting system.
其次，将得到的结果分别应用于有平方、立方非线性弹性力的质量慢变的矿井提升系统。
Secondly, the obtained results were applied respectively to mine hoist systems with slowly varying mass and with quadratic or cubic nonlinear spring.
矿井提升钢丝绳是矿井提升系统最重要的组成部分，钢丝绳断绳，不但影响矿井生产，还危及矿井安全。
The hoisting steel rope is the most important composition of the hoisting system in mine. Rope-breaking not only affects the production of mining system, but also endangers mine safety.
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