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推导了双金属的等效杨氏模量温度系数β的表达式:上述式申的h_1、h_2; E_1、 E_2;β_1、β_2;α_1、α_2分别表示单层金属第一、二层的厚度、杨氏模量、杨氏模量温暖系数、线热账系数。本文还证明了K_1+K_2=1,K_1和K_2>0。推导的β式表明:双金属的等效杨氏模量温度系数是单层金属的杨氏模量温度系数β_1、β_2以及单层金属的线热胀系数之差的线性相加。相加项的系数是二单层金属的厚度比和杨氏模量比的函数。适当选择m、n、β_1、β_2、α_1、α_2的单层金属可获β=0的双金属恒弹性材料。
The expression of temperature coefficient β of equivalent Young’s modulus of bimetal is deduced: h_1, h_2; E_1, E_2; β_1, β_2; α_1, α_2 of the above formula represent the thickness of the first and the second layer of the single metal, Young’s modulus, Young’s modulus warm coefficient, hot thermal coefficient. This paper also proves K_1 + K_2 = 1, K_1 and K_2> 0. The deduced β equation shows that the equivalent Young’s modulus temperature coefficient of the bimetal is a linear addition of the difference between the Young’s modulus temperature coefficients β_1 and β_2 of the single layer metal and the linear thermal expansion coefficient of the single layer metal. The coefficient of the addition term is a function of the thickness ratio and the Young’s modulus ratio of two single-layer metals. Appropriate choice of m, n, β_1, β_2, α_1, α_2 single-layer metal can be β = 0 bimetallic permanent elastic material.