Stiffness values varied with displacement and moving direction of NC table and shown nonlinear regulations such as soft spring property or hard spring property.
数控工作台受滚珠丝杠轴向力、横向力、扭矩、摩擦力和切削力等多种载荷的作用,滚珠丝杠各类刚度的大小与滚珠丝杠的支承方式密切相关;各类刚度随着工作台位移和运动方向的变化而变化,呈现出软弹簧特性或硬弹簧特性等非线性规律;摩擦力变化规律服从Streibeck曲线。
The expression for the relation between the deform and the external force of progressive rate springs with variable arm length was established by using unit load method, and then the non-linear dynamics equations was given.
采用单位荷载法推导变撑臂渐硬性钢板弹簧变形和外力之间的关系式,进而推导出非线性动力学方程,然后采用多尺度法对方程进行求解。
Based on the previous theoretical analysis and experimental results, the shape curve of the progressive rate springs was improved.
通过理论计算和试验测试,对该变撑臂渐硬性钢板弹簧进行了全面研究,推导出理论计算公式,得到了试验结果,验证了改进样品的良好效果,为下一步产品开发提供了理论保证和试验支持。
An advantage of Galerkin method was that, for a given trial function, the residuals of the dynamic von Karman partial differential equations could be eliminated easily, thereby the governing equation of an annular thin plate for forced vibration, namely the hard-spring type of Duffing equation, could be obtained.
为研究环形薄圆板非线性振动特性,用伽辽金法消除动态卡门偏微分方程的残值,推导出了环形薄圆板的受迫振动控制方程,即硬弹簧型达芬方程;用KBM法求解达芬方程,定性地探讨了边界条件、阻尼比、外激振力和内外半径比对环形薄圆板振动的影响,得到了4种边界条件下共振时激起的振幅均随半径比或阻尼比的增大而减少的结论;取外激振力作为控制参数,进行理论分析和数值仿真,发现随着外激振力的增大,动力系统从围绕1个焦点的周期运动转变成围绕2个焦点的周期运动。
