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Home Courses Buckling of Structures Course materials Exams 1. Assignments Introduction to Stability

1. Assignments Introduction to Stability

Course week(s) Week 1 Week 5
Course subject(s) Introduction to Stability

On this page the assignments of the chapter Introduction to Stability can be found. Read the descriptions carefully and good luck.

Assignment 1

Find a positive definite expression for the potential energy (in terms of a single degree-of-freedom q) of a structure, which according to linearised analysis would be unstable.

Assignment 2

Given is a standard mass spring system.

  • Investigate a quadratically (kx2) and cubically (kx3) nonlinear spring. Are they stable or unstable, and why?
  • Show this graphically by plotting the time response of both types of nonlinear springs.

Assignment 3

Given is a functional I, see below. The subscripts with comma indicate the first or second derivative with respect to that variable. The functional I is a function of displacement fields u, vand w, and their first and second derivatives with respect to x and y.

Derive the equilibrium equations in u, v and w direction of the functional and find the boundary terms.

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