号数 ばね論文集 64 号( 2019 年)
ページ数 pp.71-77
種類 論文
論文名 コイルばねの応力・変形特性に及ぼす素線の異方性の影響
Title Effects of Wire Anisotropy on Stress Distributions in Tension Coil Springs and their Deformation Behavior
著者 中曽根祐司1),村主和憲2) 
Author Yuji NAKASONE1), Kazunori MURANUSHI2) 
抄録  
Abstract The present paper has investigated the effects of wire anisotropy on the stress distributions in tensile
coil springs and on their deformation behavior obtained by the finite element analyses(FEM). The types
of anisotropy investigated in this paper were cylindrical and general anisotropy. The former simulates wire drawing and the latter considers the mutual influence effects of shear stresses (strains) and normal strains (stresses). The calculated deflections of tension coil springs and their spring constant agreed well with the values calculated by their well-known practical formulas for isotropic and cylindrically anisotropic springs. The values of normal stress σz and shear stressτθz on the wire cross section of these springs varied from a negative value on the outer periphery of the coil to a positive value on the inner periphery on the cross section of the isotropic springs. The distribution of the shear stressτ θz agreed well with that of the shear stressτθz modified by the Wahl correction factor. In the generally anisotropic tension coil springs, however, the deflectionδshowed abrupt increase, and thus the spring
constant was markedly decreased for C14 > 40 GPa. The distributions of σz andτ θz were completely different from those in the isotropic and the cylindrically anisotropic springs. The absolute values of the normal stressσz in the generally anisotropic springs were more than four times higher than those in the isotropic and the cylindrically anisotropic springs. The shear stressτθz distribution did not agree with Wahl’s modified stress distribution. The higher absolute value of σz brought about sudden increase of deflection of the generally anisotropic springs for C14 > 40 GPa. 
著者の所属 1)東京理科大学
2)東京理科大学大学院  
Belonging 1)Tokyo University of Science
2)Graduate School, Tokyo University of Science 
Key Words Tension Coil Spring, Isotropy, Cylindrical Anisotropy, General Anisotropy, Drawing, 3D FEM