Transient Response of a Bent Boom of Variable Cross Section with Link Joints Subjected to General Transient Loads
This paper describes a method for solving transient response problems of a bent boom of variable cross section with link joints subjected to general transient loads. The boom is divided into small segments and the transfer matrix and the Laplace transform methods are applied to have the solution. Since it is difficult, in general, to include the general transient load in the analysis, this paper applies the Fourier series expansion procedure to treat general transient loads. The transfer matrix method derives the solution by the combination of the solution of each segment which is expanded in terms of the Laplace transform parameter. The Laplace transform inversion integral transforms the solution from the complex domain to the time domain by use of the residue theorem. As an example, numerical calculations have been carried out for the response of a variable cross section boom consisting of two link systems subjected to a complex dynamic load.
KeywordsAxial Force Transfer Matrix Transient Response Transfer Matrix Method Residue Theorem
Unable to display preview. Download preview PDF.
- 6.McGuire, W. and Gallagher, R.H. Matrix Structural Analysis. J. Wiley Book Co.Google Scholar