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本文主要探讨两端承受通过形心轴线压力作用的凸模的稳定性问题。根据欧拉公式与约翰逊公式所确定的临界力P_K建立稳定条件,从而对受压凸模进行稳定计算。在理论研究中,常将两端受轴向压力的杆件称为压杆。工作状态下的受压凸模通常可简化为两端承受轴向压力的直杆来进行分析。实践表明,短压杆与长压杆的破坏性质是不同的:短杆是强度问题,细长杆是能否保持原有直线平衡状态的稳定性问题,介于短杆与细长杆之间的中长压杆是强度与失稳的综合问题。因此,为了保证受压凸模的正常工作,短凸模应满足压缩强度条件;细长与中长凸模应满足稳定条件。
In this paper, we mainly discuss the stability of the punch with both ends subjected to the centripetal axis pressure. According to the critical force P_K determined by the Euler’s formula and the Johnson’s formula, the stability condition is established, so that the compression punch is stably calculated. In theoretical research, often at both ends of the axial pressure of the rod is called the pressure rod. Pressing dies under working conditions are usually simplified to straight rods with axial compression at both ends for analysis. Practice shows that the short-bar and long-bar under the destruction of the nature of the difference is: short bar is the strength of the problem, the slender bar is able to maintain the stability of the original linear equilibrium state, between the short rod and the slender rod The long rod is a combination of strength and instability. Therefore, in order to ensure the normal operation of compression punch, short punch should meet the compressive strength conditions; slender and long punch should meet the stability conditions.