When 0 is 0, when x=L-L12, the deflection is the maximum value, and ymax=P192EI(L-L1)3 is based on the symmetry of the leaf spring guiding structure. The general form of the deflection curve equation can be written as (1) when 0 (2) When the L-L123 plate spring guide supports the stiffness calculation plate spring guide support is deformed by the vibration force. Deformation reaction force
At 0 At 0 When x=L-L12, the deflection is the maximum value, and ymax=P192EI(L-L1)3 is based on the symmetry of the leaf spring guiding structure. The general form of the deflection curve equation can be written as (1) when 0 (2) When L-L12 3 Stiffness calculation of the leaf spring guide support The spring guide support of the plate spring is deformed by the vibration force. The magnitude of the deformation reaction is related to the deflection. When the deflection y is relatively small, and (L-L1)>y, the deformation reaction force of the leaf spring is proportional to the deflection. The stiffness formula can be written as k=Py=-48EIx2<4x-3(L-L1)>when x=L-L12, k=192EI(L-L1)3(6) If there are n leaf spring guide supports, total Stiffness kn=192EIn(L-L1)3(7) Calculation example of plate spring guiding support In a project, the vibration table of continuous casting machine adopts plate spring guiding support, and its specific parameters are: E=2107@1011N/m2; b= 012m; h=01012m; L=2116m; L1=015m; n=8. I=bh312=2188@10-8m4 from equation (7), find kn=2@106N/m and calculate the reaction force of the leaf spring guiding support when the amplitude is y=7mm P=kny=2@106@01007=14000N The curve equation finds the first derivative and obtains the angle equation of each section of the leaf spring as H=dydx(1) when 0 The maximum angle of rotation Hmax=017248b (a) deflection curve (b) corner curve. The deformation of the plate spring during the vibration of the continuous casting machine crystallizer is small. The maximum angle of the example in the text is only 017248b. The equation of deflection curve obtained by the analysis and calculation is sufficiently accurate. The stiffness of the leaf spring guiding support of the formula (7) is proportional to the cube of the thickness h of the leaf spring (the moment of inertia I implies h), which is proportional to the number n of the leaf springs, and the effective length of the leaf spring (L-L1) The cube is inversely proportional. In order to improve the guiding precision in the design, the deformation reaction force during vibration is not excessively increased, and the guiding structure of the multi-layer thin-plate spring is often used.
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