Laplace Transforms and Applications
Abstract
Laplace transform is a powerful analytical tool for solving ordinary differential equations and is therefore fundamental in engineering disciplines concerned with dynamic behavior. By converting time-domain equations into algebraic expressions in the Laplace domain ( s -domain), they greatly simplify problems in structural dynamics, fluid mechanics and control. In structural engineering, for example, Laplace transforms are used to model building and bridge vibrations under dynamic loads such as earthquakes [1 ] and wind ( Figure 7.1a ). In hydraulics, they facilitate the analysis of unsteady flow in pipelines, rivers and canals ( Figure 7.1b ).
Fields of Study & Subjects
Mathematical and Computational Methods
Mathematical Analysis and Transform Methods
Differential Equations and Boundary Problems
Publication details
- Journal / source
- CRC Press eBooks
- Pages
- 250–267
- Publication date
- 27 February 2026
- Language
- EN
- Document type
- Book chapter