Eigenvalues of Inhomogeneous Structures - 9780367454272

CRC Press

Eigenvalues of Inhomogeneous Structures: Unusual Closed-Form Solutions offers a new treatment of closed-form solutions for semi-inverse eigenvalue problems. This work offers closed-form solutions for eigenfrequencies and buckling loads of bars, beams, and plates. An overwhelming majority of solutions have been derived for the first time since the f > The engineering community generally accepts that there exists only a small set of closed-form solutions for simple cases of bars, beams, columns, and plates. Despite the advances in powerful computing and advanced numerical techniques, closed-form solutions remain important for engineering; these include uses for preliminary design, for evaluation of the accuracy of approximate and numerical solutions, and for evaluating the role played by various geometric and loading parameters.Eigenvalues of Inhomogeneous Structures: Unusual Closed-Form Solutions offers the first new treatment of closed-form solutions since the works of Leonhard Eu.