In many practical engineering problems, it is neither possible nor convenient to develop exact solutions. A convenient method for solving such problems originated from attempts to calculate natural frequencies and modes of structures. This method is known as the Rayleigh–Ritz Method or simply the Ritz Method. This book is a presentation of the theory behind […]
In many practical engineering problems, it is neither possible nor convenient to develop exact solutions. A convenient method for solving such problems originated from attempts to calculate natural frequencies and modes of structures. This method is known as the Rayleigh–Ritz Method or simply the Ritz Method.
This book is a presentation of the theory behind the Rayleigh–Ritz (R–R) method, as well as a discussion of the choice of admissible functions and the use of penalty methods, including recent developments such as using negative inertia and bi-penalty terms.
While presenting the mathematical basis of the R–R method, the authors also give simple explanations and analogies to make it easier to understand. Examples include calculation of natural frequencies and critical loads of structures and structural components, such as beams, plates, shells and solids. MATLAB codes for some common problems are also supplied.