Reference no: EM132644642

49928 Design Optimisation for Manufacturing - University of Technology Sydney

Project - Nonlinear Programming

Objective:
This project provides students an opportunity Io apply the knowledge and problem solving skills obtained in the nonlinear programming rind other optimization techniques to a practical optimization problem.

DESCRIPTION:
Twenty three optimisation problems am listed in this document. A group of two or three students will be either allocated one among the listed problems, or identify n potential/actual nonlinear optimisation problem based on their prior work experience or from some other personal experience. The group can be the some as group project 1 or can be different. Please select three options from the list and post your selection through Canvas by on Friday 11 kept 2020 with the following format:

Task:

(1) Understand the optimisation problem;

(2) Develop the mathematical model;

(3) Applying the required optimisation techniques to solve the problem (if the optimisation techniques are not specified in the problem. then any optimisation software. program or toolbox can be used):

(4) Perform other ta.sks as required.

(5) Write n project report.

(6) Only one of the group members need to submit in Canvas. However, all the group members should be able to explain the report and the code/files submitted. Some students mlehl be selected to do a vlva before the marks are eiven.

Nonlinear Programming Problems

(l) Derive the model for a uniform column of tubular section to carry a compressive load P = 2500kgr for minimum cost. The column is made up of n material that has n yield stress (σy) of 0.0025 kgf/cm, modulus of elasticity (E) of 0.85x10kgf/cm², and density (p) of 0.0025 kgr/cm³. The length of the column is 250cm. The stress induced in the column should be less than the buckling stress as well as the yield stress. The mean diameter of the column is restricted to lie between 2 and 14cm. and column with thickness outside the range 0.2 to 0.8 cm are not available in the market. The cost of the column includes material and construction costs and can be taken as 5W+Zd, where this the weight in kgf and d is the mean diameter of the column in cm.

(2) Design d and t In minimise the cost (use at least iwo different optimisation techniques/software to find ltte solution and compare ihe results);

(3) Discuss the effects of d and t on the cost and the other important factors;

(4) Based on the solution and discussion, prepare a report which provides detailed design guideline for the column design (assuming your colleagues will use this guideline in their designs of this type of columns.