均匀内压作用下双模量简支扁壳的非线性弯曲

发布时间：2018-04-12 12:01

本文选题：均匀内压 + 双模量　；参考：《应用力学学报》2017年03期

【摘要】：双模量扁壳在均匀内压作用下,会形成拉压弹性模量不同的各向同性拉伸区和压缩区,把双模量扁壳看成两种材料组成的层合扁壳,采用板壳理论求得了双模量扁壳在均匀内压作用下中性面位置;推导出了双模量扁壳挠度与均匀内压的关系式,并把该方法的计算结果与有限元方法计算结果进行了比较,验证了该计算方法的可靠性。算例分析表明,当拉压弹性模量相差较大时,将双模量材料当作单模量材料计算,其误差绝对值最小值为24.4%,误差绝对值最大值为35.38%。因此,均匀内压作用下双模量简支扁壳的大挠度弯曲计算必须考虑双模量材料拉压弹性模量不同的特性。
[Abstract]:Bimodulous flat shell pressure in uniform, will form different elastic modulus of isotropic tensile pressure zone and compression zone, the bimodulous flat shell as composed of two kinds of materials of laminated shell, the shell theory of pressure under the action of the neutral surface position in uniform inner bimodulous shell obtained is derived; the relationship between the bimodulous flat shell deflection and uniform internal pressure, and the calculation results of this method were compared with the results of finite element method to calculate and verify the reliability of the calculation method. Examples show that when the compressive elastic modulus is larger, the double modulus as single modulus calculation, the error the absolute value of the minimum value is 24.4%, the maximum absolute error value is 35.38%. therefore, the large deflection under uniform internal pressure double modulus of simply supported shallow shell bending calculation must consider the properties of tension of different elastic modulus of pressure double modulus material.

【作者单位】：湖南文理学院;
【基金】：湖南省科技计划(湘财指[2011]65号) 湖南“十二五”重点建设学科项目
【分类号】：O343

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