Ignoring the calculation of the leaf spring during shear deformation For the lower half of the leaf spring, we can use the elastic stability principle of the bending member to handle it. For the bending rods under pressure at both ends, the bending moment obtained without considering the longitudinal deformation is called the first-order bending moment. If the bending deformation is considered, the bending moment sought is called the second-order bending moment. The difference between the second-order bending moment and the first-order bending moment in the bending member cannot be ignored. According to the small deflection theory, if the axial deformation and shear deformation are considered at the same time, the differential equation of the deflection curve of the bending member is <5>: 202d)1 (in the dxMGAcEIMxy equation, the axial deformation of 0 is small, and is ignored here. .
When only bending deformation is considered, the height of the leaf spring is lL2) (ybNxlFxM. where b is the maximum deflection B of the leaf spring, which is used as a pending constant term. Therefore, the equation for the calculation can be obtained by the equation EIybNxlFxy) D2, substituting boundary conditions 0) 0 (= y, 0) 0 (= found) / cos (/) / sin (EINxNNbFlEINEINxFNNbFxFly by y (l) = b, so 1 /) / tan (EINlEINlNFlb, if lEINu = , then BuLEIFtan43.
Due to the arbitrariness of F and B, the elastic coefficient uLEIktan43 of a single leaf spring is known. If utan313 is used, then 312LEIk, when 1, k is the stiffness of the cantilever beam obtained when the vertical force N caused by gravity is ignored. Therefore the coefficient is the gravity influence coefficient, its function image.
It can be seen that when u approaches zero, the gravity influence coefficient α curve changes slowly. Therefore, it is entirely possible to calculate the spring constant of the leaf spring by the gravity influence coefficient of a certain mass within the measurement range of the dynamic balance test system. The spring rate of the leaf spring is approximately constant over the entire measurement range to determine a reasonable leaf spring size. At the same time, it can be seen that if the value of u is unreasonable, that is, when u deviates from zero, the difference in gravity influence coefficient α of different masses is large, and it is difficult to find a uniform coefficient as the elastic coefficient of the leaf spring.
Plate spring calculation model gravity influence coefficient characteristic curve For the suspension type support, the same method can be used to obtain the gravity influence coefficient / 1. Consider the calculation of the plate spring when shear deformation is calculated according to the calculation formula of the plane member structure under load: GAsQcEAsNEIsMPd Where: δ is the displacement in a specified direction; M, N, Q are the internal forces on the micro-segments in the virtual state; PM, PN, PQ are the internal forces on the micro-segments in the actual state; E is the elastic modulus of the material, I and A are the moment of inertia and area of ​​the section; G is the shear modulus; c is the shear correction coefficient, for the rectangular section 2.1c<6>.
Since the axial deformation of the leaf spring in the hard bearing dynamic balance test system is small, it can be ignored. Considering the bending deformation and shear deformation here, the bending deformation is the displacement B calculated above, the displacement caused by the shear deformation is GAFLGAsQcP56d1, and the displacement under the joint of bending and shearing is GAFLuEIFLB56tan431 where 2LEINu, N takes the total mass of the sprung mass Heavy quarter.
When determining the size of the leaf spring, first consider the characteristics of the hard support, and then use the above formula to calculate the stiffness of the plate spring and the natural frequency formula Mk/40 of the vibration system, combined with the variation characteristics of the gravity influence coefficient, Suitable size parameters.
Conclusion After comprehensively considering the influence of gravity and the influence of shear deformation, a more accurate calculation formula for determining the size of the leaf spring is derived. For the selection of the more reasonable size parameters of the hard-supported dynamic balancing machine spring, the measurement is improved. Accuracy has a large reference value.
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