Question

Suppose the following eigenvalue equation represents a bar problem, then the value of the parameters a and c0 should be EA and ρA, respectively.

(a) \)=λc0 U

(b) True

(c) False

The question was posed to me in an international level competition.

The above asked question is from Eigen Value and Time Dependent Problems in chapter Single Variable Problems of Finite Element Method

Answer 1

Correct choice is (a) \)=λc0 U

The explanation is: For the given eigenvalue equation, the values of the parameters a and c0 depends upon the physical properties and phenomena involved in the problem. For a bar problem, a=EA and c0=ρA, where E is Young’s modulus, A is cross-sectional area and m is the mass density. For a heat transfer problem, a=kA and c0=ρcA.