Motion analysis and parameter optimization of crank-slider mechanism

1. Introduction

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465-can communicate, consult, answer questions

2. Description of content

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The mathematical formula refers to this document: Crank SliderKinematic Analysis and Mechanical Calculation of Block Mechanism--Baidu Library

3. Simulation analysis

clcclose allclearr = 3;l = 16;lameda = r/l;w = 100;t = 0:0.001:1;v = w*r*(sin(w*t)+0.5*lameda*sin(2*w*t));figureplot(t,v)xlabel t/sylabel speed/m/s% In order to calculate the maximum value, since fmincon calculates the minimum value,% Therefore, the value is converted to a negative number, and the absolute value of the minimum value of the negative number is the maximum valuemyfun = @(x)-100*x(1)*(0.5+sqrt(3)/4*x(1)/x(2));x0 = [3,16]; % initial value r and lA = [2.5 -1;1,-1;1 1]; % inequalities r and lb = [0;-10;20]; % A*x <= bAeq = [];beq = []; % Aeq*x = blb = [0.5,2.5]; % lower limit of r and lub = [10,25]; % upper limit of r and loptions = optimset('Display','iter'); % Display each iteration process[x, fval] = fmincon(myfun,x0,A,b,Aeq,beq,lb,ub,[],options) % call the minimum value calculation% x is the optimized r and l fval is the maximum speed of the calculationmax_v = abs(fval)r_opt = x(1);l_opt = x(2);lameda_opt = r_opt/l_opt;v_opt = w*r_opt*(sin(w*t)+0.5*lameda_opt*sin(2*w*t));figureplot(t,v,t,v_opt)xlabel t/sylabel speed/m/stitle optimization comparisonlegend('before optimization', 'after optimization')

4. Reference papers

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