Optimal design of damping spring

Optimization design of damping spring Yang Min mathematical type solution = 23, the working characteristics of the design of the damping spring and the use of the spring in the library using the optimization design method is very versatile and has a wide variety of structures. As a kind of elastic suspension, the coil spring torsion bar spring or blade leaf spring is used to support the frame and the car of the car for buffer damping; the clutch of the automobile is a coil spring or a diaphragm spring, and the valve of the internal combustion engine is a coil spring. To control the movement; the clock is loaded.

When designing the spring and designing the spring, in addition to selecting the material and specifying the heat treatment requirements, the diameter of the spring wire diameter, working circle, pitch 1 or The angle of elevation and height are only waiting. Usually, the diameter of the spring wire diameter is taken, and the number of working turns is the design variable of the optimal design, that is, the objective function can be established according to the working characteristics of the spring and the special requirements for it. For example, for springs that are prone to fatigue damage due to work characteristics, the maximum fatigue safety factor should be the objective of optimal design; for springs subjected to high-speed operation of the load change, the first-order natural frequency should be the maximum. As the goal of the optimal design, the natural vibration frequency value is kept away from the load change frequency value to avoid resonance; for the spring where the installation space is tight and the contour size is minimized, the outer diameter or height should be minimized to obtain the minimum installation. Dimensions are the goal of optimal design; when the price becomes the main question, the cost of the spring can be minimized; and the objective function is established according to the principle of full stress. For a typical spring, the weight or wire volume is usually the smallest as the goal of the optimal design.

The work of cylindrical spiral compression springs should include geometric physical parameters, namely 1 spring diameter; spring wire diameter; spring degree of freedom; spring pitch; number of working rings; 1 single ring stiffness 4 unfolded length; deformation of port working force under force the amount.

The known parameters of the constraint design spring are 0 spring wire shear modulus, 玖 spring wire allowable shear stress 4 spring wire limit shear stress spring allowable stability index, spring allowable stiffness, spring working frequency and change Upper and lower limits.

Constraint 8 The upper and lower limits of the design variables are 3!

The example is now designed to reduce the vibration spring, the goal is the lightest weight. Known conditional working load = 420 teams, allowable medium diameter 0 = 2050, effective number of turns = 415, several basic formulas for spring wire diameter 1 spring design strength formula Maximum shear stress rise angle and curvature compensation coefficient for stress = i The shear stress amplitude under cyclic dynamic load = 1 in 180 coffee 2 where = 12 coffee stiffness formula Ka, deformation expensive n effective circle geometric calculation formula free height, = +1 t pitch winding ratio 160 = 04 instability limit 0 2.7 natural frequency calculation formula f, requires 1 in the working frequency optimization method library 00 in the mathematical model mMXXGRvn XL1SXjXujj = 1.2NN main program and function subprogram format Note 1 is the dimension, it is the equality constraint number, The state is the total constraint number, which is the linear inequality constraint number. For example, the upper and lower limits of the design variable are not limited to MXLj=l.OE38XUj=l.OE38 design results mechanical optimization design and application examples. Zhang Ji. Chief editor. The new era is also published by Yangshe. Liu Weixin. Meng Yuzong. Tsinghua University Press 3, 1 language programming. Tan Haoqiang. Tian Shuqing. And other education publishers.

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