최적설계 chap4_2 , 성균관대학교 서명원교수님
- 최초 등록일
- 2012.11.03
- 최종 저작일
- 2012.04
- 13페이지/ MS 워드
- 가격 2,000원
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최적설계 과목입니다.
그중 chap 4_2 에 관한 과제 입니다.
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목차
Homework 2. Figure 6.22 shows two bodies, A and B, connected by ...
Homework 5. . It is required to find the solution of a system of linear algebraic ...
Homework 6. Solve the following equations using the steepest descent ...
Homework 7. Find a suitable transformation of variables to reduce ...
Homework 9. Find the condition number of each matrix....
Homework 10. Perform two iterations of the Newton`s method to minimize the function...
Homework 11(a,c). Compare the gradients of the function f(X)=100(x_2-x_1^2 )^2+(1-x_1 )^2 at ...
본문내용
Chap 4_2 Homework
Homework 2. Figure 6.22 shows two bodies, A and B, connected by four linear springs. The springs are at their natural positions when there is no force applied to the bodies. The displacements x_1 and x_2 of the bodies under any applied force can be found by minimizing the potential energy of the system. Find the displacements of the bodies when forces of 1000 lb and 2000 lb are applied to bodies A and B, respectively, using Newton’s method. Use the starting vector, X_1={(0@0)}
[Hint: potential energy of the system = strain energy of springs – potential of applied loads where the strain energy of a spring of stiffness k and end displacements x_1 and x_2 is given by 1/2 k(x_2-x_1 )^2 and the potential of the applied force, F, is given by x_i F_i .]
참고 자료
Engineering Optimization: Theory and Practice