基于各向同性虚拟材料的固定结合面修正模型
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摘要
为提高固定结合面的建模精度,建立了基于各向同性虚拟材料的固定结合面修正模型。根据弹性模量和切变模量的本质属性,对各向同性虚拟材料法中等效微凸体弹性模量和切变模量的求解原理进行了修正,并在此基础上通过加权方法推导了各向同性虚拟材料弹性模量和切变模量的表达式。利用修正后的各向同性虚拟材料模型和有限元软件对含有固定结合面的框形结构进行模态分析,得到框形结构的前6阶理论模态。将理论模态和实验模态进行比较,结果表明:理论模态与实验模态的前6阶振型一致,前6阶固有频率相对误差的绝对值在10%以内,验证了修正模型的有效性。
The fixed joint surface correction model based on isotropic virtual material was established to improve the modeling accuracy of fixed joint surface. According to the essential attributes of elastic modulus and shear modulus,the theory of solving equivalent asperity's elastic modulus and shear modulus in isotropic virtual material modeling method was corrected,and the expressions of elastic modulus and shear modulus of isotropic virtual material were derived using weighting method. The model analysis of box-shaped structure with fixed joint surface was carried out using the correct isotropic virtual material model and the finite element software,and the first six theoretical modals of box-shaped structure were obtained. The theoretical modal is compared with the experimental modal,and the result shows that their first six modal shapes are identical and the absolute value of the relative error of their first six nature frequencies is less than 10%,which verifies the effectiveness of the correction model.
The fixed joint surface correction model based on isotropic virtual material was established to improve the modeling accuracy of fixed joint surface. According to the essential attributes of elastic modulus and shear modulus,the theory of solving equivalent asperity's elastic modulus and shear modulus in isotropic virtual material modeling method was corrected,and the expressions of elastic modulus and shear modulus of isotropic virtual material were derived using weighting method. The model analysis of box-shaped structure with fixed joint surface was carried out using the correct isotropic virtual material model and the finite element software,and the first six theoretical modals of box-shaped structure were obtained. The theoretical modal is compared with the experimental modal,and the result shows that their first six modal shapes are identical and the absolute value of the relative error of their first six nature frequencies is less than 10%,which verifies the effectiveness of the correction model.
引文
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[10]潘金生,仝健民,田民波.材料科学基础[M].北京:清华大学出版社有限公司,1998.
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[12]张学良,陈永会,温淑花,兰国生,丁红钦,王南山,张宗阳.考虑弹塑性变形机制的结合面法向接触刚度建模[J].振动工程学报,2015,(1):91-99.
[13]JOHNSON K L.Contact mechanics[M].England:Cambridge university press,1987.
[14]张学良,王南山,温淑花,等.机械结合面切向接触阻尼能量耗散弹塑性分形模型[J].机械工程学报,2013,49(12):43-49.
[2]TIAN H,LI B,LIU H,et al.A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools[J].International Journal of Machine Tools and Manufacture,2011,51(3):239-249.
[3]田红亮,刘芙蓉,方子帆,等.引入各向同性虚拟材料的固定结合部模型[J].振动工程学报,2013(4):561-573.
[4]田红亮.机械结构固定结合部动力学建模[D].华中科技大学,2011.
[5]王书亭,李杰,刘涛,等.机械固定结合面刚度特性建模[J].武汉:华中科技大学学报:自然科学版,2011(8):1-5.
[6]李小彭,梁亚敏,郭浩,鞠行,闻邦椿.结合面广义间隙的等效模型研究[J].振动工程学报,2014,27(1):25-32.
[7]赵光辉.固定结合面接触刚度建模与广义间隙等效方法研究[D].沈阳:东北大学,2014.
[8]ZHAO Y,YANG C,CAI L,et al.Surface contact stress-based nonlinear virtual material method for dynamic analysis of bolted joint of machine tool[J].Precision Engineering,2016,43:230-240.
[9]贾文锋,张学良,温淑花,陈永会,杨波.基于虚拟材料的结合面建模与参数获取方法[J].太原科技大学学报,2013,34(5):347-351.
[10]潘金生,仝健民,田民波.材料科学基础[M].北京:清华大学出版社有限公司,1998.
[11]石坤,宋俐,师俊平.机械结合部等效材料参数建立与试验[J].农业机械学报,2014,45(2):297-301.
[12]张学良,陈永会,温淑花,兰国生,丁红钦,王南山,张宗阳.考虑弹塑性变形机制的结合面法向接触刚度建模[J].振动工程学报,2015,(1):91-99.
[13]JOHNSON K L.Contact mechanics[M].England:Cambridge university press,1987.
[14]张学良,王南山,温淑花,等.机械结合面切向接触阻尼能量耗散弹塑性分形模型[J].机械工程学报,2013,49(12):43-49.