Calculate the sensitivity of the vertical displacement v 2 v 2 in problem 12 using forward finite
Question:
Calculate the sensitivity of the vertical displacement v2 in problem 12 using forward finite difference method with perturbation size 1%. Compare the results with the exact sensitivity.
Data From Problem 12:
For the clamped beam shown in the figure, two design variables are defined, as \(I_{1}=b_{1}\) and \(I_{2}=b_{2}\). Using the finite element method and sensitivity analysis, calculate the sensitivity of the vertical displacement \(v_{2}\) with respect to \(b_{1}\) and \(b_{2}\). Use the following values for the current design: \(E=30 \times 10^{6} \mathrm{psi}, b_{1}=0.1 \mathrm{in}^{4}\), and \(b_{2}=0.05 \mathrm{in}^{4}\). Compare the results with the exact sensitivity.
Step by Step Answer:
Introduction To Finite Element Analysis And Design
ISBN: 9781119078722
2nd Edition
Authors: Nam H. Kim, Bhavani V. Sankar, Ashok V. Kumar