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园板简支边,固定边的弯曲问题早已解决,本文提出介于此两者之间广泛存在于工程实际中具有弹性边的园板湾曲问题,并推导出适合于简支边,弹性边和固定边的园板挠度通式,此结果不仅可以校正将实际边介简单近似地简化为固定边或简支边而产生的误差而且为测试园板弹性边弯曲刚度建立了理论基础和精确可行的测试方法。本文所得结果对于控制系统的压力传感四等的设计,调试和检修也能有所帮助。
The bending problem of simply supported edges and fixed edges has long been solved. In this paper, the problem of circularly curved sheets with elastic edges in engineering practice is proposed in this paper. This result not only can correct the error caused by the simple and approximate simplification of the real edge to the fixed edge or simply supported edge, but also establishes the theoretical basis and the accurate and feasible test method for the bending stiffness of the elastic edge of the test panel. The results obtained in this paper can be helpful for designing, debugging and overhauling the pressure sensing of the control system.