Develop a strong foundation in the vector and tensor operations fundamental to biomechanics. This online course covers vector and tensor notation, algebra, and operations, providing the mathematical tools required for continuum biomechanics and the analysis of stress, strain, and material behaviour.
A basic understanding of mathematics, including algebra, calculus, and introductory mechanics, is recommended. Familiarity with vectors and matrix operations will be helpful but is not required.
| Mathematical Background: vector analysis |
| Vector representation |
| Vector operations |
| Vector addition |
| Vector subtraction |
| Vector multiplication |
| Dot multiplication (Scalar multiplication) |
| Vector multiplication (Cross multiplication) |
| Tensor multiplication |
Upon successful completion of this course, you will have the foundation required to progress to advanced biomechanics topics and apply mathematical concepts to real-world biomechanical analyses.
Solid Mechanics
Advanced topics in stress analysis, constitutive modelling, and failure criteria. Covers elasticity, plasticity, viscoelasticity, and fracture mechanics with practical applications.
Aeroelasticity
Study of interactions between aerodynamic, elastic, and inertial forces. Covers flutter analysis, divergence, control reversal, and buffeting with real-world aircraft case studies.
Aircraft Structures
Structural analysis and design of aircraft components. Covers thin-walled structures, buckling, fatigue, and damage tolerance for wings, fuselage, and control surfaces.