This contribution presents the control of a certain kind of mechanical systems based on energy considerations. The plants under investigation are underactuated lumped and distributed parameter systems, which consist of two masses and an elastic element. After a brief introduction of the used mathematical objects, the proposed controller design method is applied to a simple introductory example ...

Cylindrical liquid storage tanks are considered as vital structures in industrial complex whose nonlinear dynamic behavior is of crucial importance. Some of these structures around the world have demonstrated poor seismic behavior over the last decades. There are several methods and techniques for rehabilitation and reducing damages in these structures which among them passive control devices, ...

In this paper, a box approximation scheme is proposed using the lumped mass numerical integration technique on piecewise linear nite element spaces for a coupled nonlinear thermistor system. Existence and uniqueness of the proposed box approximation scheme are proved via a xed point theorem, and H 1-error analysis is presented.

A Galerkin-characteristics finite element scheme of lumped mass type is presented for the convection diffusion problems. Under the weakly acute triangulation hypothesis the scheme is proved to be unconditionally stable and convergent in the maximum-norm. Using freefem, we show 2D and 3D numerical examples, which reflect the robustness of the scheme and the theoretical convergence result.

The objective of this lecture is to review the basic building blocks of lumped parameter rotational mechanical systems and to build the foundations that will enable you to model more complex dynamic systems consisting of translation and rotational elements. Corresponding to the translational elements mass, spring and damper, are the rotational inertia, rotational spring and rotational damper, r...

Modeling and simulation of processing plants are widely used in industry. Construction of a mathematical model for a plant is a time-consuming and error-prone task. In light of extensive advancements in computer science (both hardware and software), computers are becoming a necessary instrument in industrial activities. Many software tools for modeling, simulation and optimization of proces...