半圆弧形弹性元件力学特性及灵敏系数研究.pdfVIP

学兔兔 第33卷 第10期 仪 器 仪 表 学 报 V01．33 No．10 2012年 10月 Chinese Joumal of Scientific Instrument 0ct．2012 半圆弧形弹性元件力学特性及灵敏系数研究 刘万龙，梁国柱 (北京航空航天大学宇航学院 北京 100191) 摘 要：根据曲梁理论对一种可作为应变式位移传感器弹性元件的半圆弧形弹簧钢片进行分析。通过设定边界约束条件得到 半圆弧形曲梁位移通用公式中的待定函数，并推导出自由端只有径向位移时半圆弧形弹性元件的灵敏系数公式。通过薄壁和 厚壁的半圆弧形弹性元件的有限元仿真及厚壁半圆弧形弹性元件的拉力试验，说明了这些公式对实际结构的适用性。弹性元 件的灵敏系数只受弹性元件的内半径及外半径的影响；理论分析及试验表明当外半径与内半径的比值一定时，灵敏系数与弹性 元件的内半径成反比。 关键词：半圆弧形弹性元件；位移传感器；曲梁；灵敏系数 中图分类号：TP212．1 TH82 文献标识码：A 国家标准学科分类代码：460．4020 Study on the mechanical properties and sensitivity coefficient of semicircle curve elastic element Liu Wanlong，Liang Guozhu (School of Astronautics，Beihang University Bering 100191，China) Abstract：A kind of semicircle curve spring sheet steel that could be used as the elastic element of strain displace- ment sensor iS analyzed based on curved beam theory．The undetermined fLInctions in the general displacement forInn— las of semicircle curved beam are obtained by setting the boundary constraint conditions．The sensitivity coemcient formula of semicircle elastic element iS alSO deduced when the free end displacement iS only radial displacement．Fi— nite element simulations for thin．．walled and thick．．walled elastic elements and tension tests of thick．．walled elastic ele．． ments show that these formulas could be used on actual structures．The sensitivity coefficient of the elastic element is influenced only by its inside radius and outside radius．Theoretical analysis and experiment result show that the sensi． tivity coefficient iS inversely proportional to the inside radius when the ratio of the outside radius to