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4. Matlab-Simulink를 이용한 메카니즘 해석
Korea University of Technology and Education School of Mechatronics
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1. 크랭크 슬라이드 메카니즘의 해석(Analysis of Crank-Slider Mechanism)
크랭크 슬라이드 기구의 모델링 문제정의 : 크랭크의 입력각속도가 주어질 때 컨넥팅 로드와 슬라이드의 위치와 속도를 구하시오. Find Given Korea University of Technology and Education School of Mechatronics
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기구학적 해석을 위한 크랭크 슬라이드의 백터방정식
Vector Loop Equation : x-component : (1) y-component : (1)식은 크랭크 슬라이드 기구의 위치에 관한 백터방정식이다. 위의 식을 시간에 대하여 미분하면 크랭크 슬라이드 기구의 속도에 관한 백터방정식을 다음식(2)와 같이 얻을 수 있다. (2) (2)식을 행렬형태로 정리하면 다음식(3)과 같이 표현할 수 있다. (3) Korea University of Technology and Education School of Mechatronics
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(3)식을 풀면 커넥팅로드와 슬라이드의 속도를 구할 수 있다.
(4) Given Find function [x]=compvel(u) % % u(1)=omega-2 % u(2)=theta-2 % u(3)=theta-3 r2=1.0; r3=4.0; a=[r3*sin(u(3)) 1 ; -r3*cos(u(3)) 0]; b=[-r2*u(1)*sin(u(2)) ; r2*u(1)*cos(u(2))]; x=inv(a)*b Korea University of Technology and Education School of Mechatronics
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Simulink 를 이용한 크랭크 슬라이드의 기구학적 해석
문제 : 크랭크의 입력각속도가 주어질 때 컨넥팅 로드와 슬라이드의 위치와 속도를 구하시오. Initial condition : Crank velocity : input Output 1 Output 2 Korea University of Technology and Education School of Mechatronics
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Simulink Model File for the Crank Slider Mechanism Analysis
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Simulink 실행하기 File New Model View Simulunk Library Browser
Workspace for programming View Simulunk Library Browser Library Browser Korea University of Technology and Education School of Mechatronics
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Simulink Library Clock Constant
- Display and provide the simulation time. - The Clock block outputs the current simulation time at each simulation step. Constant - generate a constant value. - The constant block generate a real or comples constant value. Korea University of Technology and Education School of Mechatronics
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Integrator - The Integrator block outputs the integral of its input at the current time step. - The following equation represents the output of the block y as a function of its input u and an initial condition y0, where y and u are vector functions of the current simulation time t. Korea University of Technology and Education School of Mechatronics
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MATLAB Fcn To Workspace
- The MATLAB Fcn block applies the specified MATLAB function or expression to the input. - The output of the function must match the output dimensions of the block or an error occurs. To Workspace - The To Workspace block writes its input to the workspace - The block writes its output to an array or structure that has the name specified by the block’s Variable name parameter. Korea University of Technology and Education School of Mechatronics
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Mux Demux - The Mux block combines its input a single output.
- An input can be a scalar, vector, or matrix signal. Demux - The Demux block extracts the components of an input signal and outputs the components as separate signals. Korea University of Technology and Education School of Mechatronics
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double click constant : double click Initial value :
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double click number of input double click number of input double click
of output Korea University of Technology and Education School of Mechatronics
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Output variable name double click Output variable type
Korea University of Technology and Education School of Mechatronics
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double click m-file name Korea University of Technology and Education
function [x]=compvel(u) % % u(1)=omega-2 % u(2)=theta-2 % u(3)=theta-3 r2=1.0; r3=4.0; a=[r2*sin(u(3)) 1 ; -r3*cos(u(3)) 0]; b=[-r2*u(1)*sin(u(2)) ; r2*u(1)*cos(u(2))]; x=inv(a)*b Korea University of Technology and Education School of Mechatronics
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Simulink simulation 실행하기
double click Configuration parameter 실행시간 설정 start Output file 생성 변수명 : simout Korea University of Technology and Education School of Mechatronics
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Output file 생성 변수명 : simout
time : simout(:,1) : simout(:,2) : simout(:,3) : simout(:,4) : simout(:,5) : simout(:,6) time Korea University of Technology and Education School of Mechatronics
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Plot of the Distance of the Slider Plot of the velocity of the Slider
Korea University of Technology and Education School of Mechatronics
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2. 4절링크 메카니즘의 해석(Analysis of 4-bar Mechanism)
4절링크 기구의 모델링 문제정의 : 입력링크의 각속도가 주어질 때 컨넥팅 로드와 출력링크의 위치와 속도를 구하시오. Find Given Korea University of Technology and Education School of Mechatronics
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기구학적 해석을 위한 4절링크의 백터방정식 Vector Loop Equation for Position:
위의 방정식을 x, y 성분으로 분해하면 다음과 같은 방정식을 얻을 수 있다. Korea University of Technology and Education School of Mechatronics
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위의 방정식을 미분하면 4절 링크에 대한 속도 백터방정식을 얻을 수 있다.
위의 방정식을 미분하면 4절 링크에 대한 속도 백터방정식을 얻을 수 있다. 위치방정식 (1) 속도방정식 (2) (2)식을 풀면 커넥팅로드와 출력링크의 속도를 구할 수 있다. (3) Korea University of Technology and Education School of Mechatronics
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Simulink 를 이용한 4절 링크기구의 기구학적 해석
문제 : 입력링크의 각속도가 주어질 때 컨넥팅 로드와 출력링크의 위치와 속도를 구하시오. Initial condition : Crank velocity : input Output 1 Output 2 Korea University of Technology and Education School of Mechatronics
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