On the integration of the equations of the linear vibrating systems
Abstract
The author considers systems of secondorder differential equations that describe vibration phenomena, and presents a unified method for solving such systems based on matrix calculation methods and on the fundamental solutions of some operators within the convolution algebra representing the subspace of distributions with support contained in the halfopen interval from zero to infinity. The general solution of linear vibrating systems is given in distribution space under the form of a series of matrix distributions. Some convolution product formulas are also given.
 Publication:

Bulletin Mathematique
 Pub Date:
 1975
 Bibcode:
 1975BuMat..18..151K
 Keywords:

 Cauchy Problem;
 Convolution Integrals;
 Linear Systems;
 Linear Vibration;
 Matrices (Mathematics);
 Structural Vibration;
 Physics (General)