Determination of spring stiffness of coil springs when considering shear deformation
Determination of the spring stiffness of the coil spring in consideration of shear deformation Zibo City University 255039 Dong Huanjun Zhang Guoxiang Abstract This paper extracts the formula of the coil spring stiffness in consideration of shear deformation according to the geometric deformation method and energy method of material mechanics. It is well known that the widely used calculation formula of the spring stiffness without shear deformation is known. When a coil spring of a diameter is wound into a coil spring having an average diameter of a ring, the spring stiffness is. , 1 (3) The formula is full of spiral ç‚» (1). !
When obtained, the force analysis of the cross section of the spring wire shows that the spring wire undergoes both torsional deformation and shear deformation. In order to improve the analysis of the spring stiffness characteristics, it is necessary to take into account the influence of shear deformation on the stiffness of the spring. In this paper, we can analyze the influence of shear deformation on the spring stiffness by two methods, and give the formula of the stiffness æ—® shape. 2. Using the deformation method to derive the stiffness of the coil spring according to the deformation characteristics of the coil spring, this paper assumes The spring has a small deformation, 1! Applicable to the principle of linear superposition, the spring is seen as the combined deformation of the torsion and feather deformation. The superposition principle is used to calculate the deformation. 2.1 The axial deformation of the spring caused by the torsional deformation is as follows. For example, the coil spring is wound by a coil spring under the action of an axial force. Uniformly said. Then, the tensioning plant is simplified to the center of the cross-section, so that the torsion deformation is caused by the material mechanics, and the length is a straight rod. Under the action of the torque, the torsion angle is given by If the springs are far from the diameter of the spring wire, the spring can be approximated as a straight rod, and its length, B = the two ends are obtained, and the coincidence at the origin of the ten mark, when the length is the twist of the mountain When the city is smashing, the amount of separation at two points is necessary and vertical. 1 on the plane in the normal direction. It is given by the factory; it can be the projection of the position vector in the direction of the unit vector inch. The unit vector 1 is the normal of the micro arc. Because the dsds and the micro arc are tangent, the sagittal + micro arc Vertical, so there are mountains and mountains; if we do replacement = factory 0, = 3 calculate the point product in the formula 6 = factory 2 factory 20 in the plane polar coordinates, the arc length can be 910 generations 5 It is necessary to calculate the amount of deformation per revolution of the coil spring when the coil spring is only deformed by the integral of both ends. The deformation of the coil spring is 2.2. The calculation of the amount of spring deformation caused by shear deformation is known from the material mechanics. The shear stress is uniformly distributed in the cross section and is given by the following formula. 18. If a pure shear strain of 7 per revolution is used, then if the deformation of each coil is given by the present formula 2. The deformation of the ring spring is 2.3. The deformation of the spring caused by the torsional shear deformation is calculated by the coil spring and can be seen as a circular shape per turn. Since the coil spring can be seen as a uniform twist of the crystal per turn, it is The constant given by the equation has the definition of spring stiffness according to the principle of linear superposition. 3. The calculation formula of the coil spring stiffness is derived by the energy method. The Cartesian theorem is obtained by using the deformation energy to obtain the deformation. The spiral magazine is defined by the spring stiffness. Formula 2427 gives the juice calculation formula for the elastic yellow stiffness considering the shear deformation. 4. The summary analysis formula 2427 shows that the currently widely used spring stiffness calculation formula is obtained without shear deformation, and the value is enlarge.
The effect of shear deformation on spring stiffness is nonlinear. Using the formula in this paper to calculate the higher precision of spring stiffness mechanical parts, editor-in-chief of Beijing Iron and Steel Institute. People's Education Publishing House, The First Edition of Mechanical Design Foundation, Deng Zhaoming, Higher Education Press, The First Edition, Mechanical Parts, Xu Zhenyu, Higher Education Press, The First Edition, Materials Mechanics, Liu Hongwen, Higher Education Press, The First Edition
Magnesium Calcium Nitrate,Calcium Magnesium Nitrate,High Purity Calcium Magnesium Nitrate,Chemical Fertilizers Magnesium Calcium Nitrate
SHANXI HUAXIN FERTILIZER CORP. , https://www.sxhuaxingroup.com