A new multigrid algorithm based on the method of self-correction for the solution of elliptic problems is described. The method exploits information contained in the residual to dynamically modify the source term (right-hand side) of the elliptic problem. It is shown that the self-correcting solver is more efficient at damping the short wavelength modes of the algebraic error than its standard ...

The paper considers the influence of external forces, which can act anywhere on the body of the manipulator, on the behavior of the manipulator. For these forces the equivalent generalized forces in the task space and in the null space were defined. Next, a compliant motion controller is proposed, which ensures stiff behavior in the task space and compliant behavior in the null space. Two guide...

This paper investigates a passive control method of a point absorbing wave energy converter by considering the displacement and velocity constraints under irregular waves in the time domain. A linear generator is used as a power take-off unit, and the equivalent damping force is optimized to improve the power production of the wave energy converter. The results from nonlinear and linear passive...

We connect the classical free damping cases by means of Ros-ner's construction in supersymmetric quantum mechanics. Starting with the critical damping, one can obtain in the underdamping case a chirping of instantaneous physical frequency ω 2 (t) ∝ ω 2 u sech 2 (ω u t), whereas in the overdamped case the " chirping " is of the (unphysical) type ω 2 (t) ∝ ω 2 o sec 2 (ω o t), where ω u and ω o a...

This study aims to develop a knee-brace friction damper for mid-rise timber frame buildings. First, time history seismic response analysis was conducted investigate the performance of improve four-story building. Then, static cyclic loading test on beam-column joint with/without prototype carried out verify effectiveness damper. It is found that mitigates slip behavior and increases equivalent ...

The inverse quadratic eigenvalue problem (IQEP) arises in the field of structural dynamics. It aims to find three symmetric matrices, known as the mass, the damping, and the stiffness matrices, respectively, such that they are closest to the given analytical matrices and satisfy the measured data. The difficulty of this problem lies in the fact that in applications the mass matrix should be pos...

We provide a condition for f -ergodicity of strong Markov processes at a subgeometric rate. This condition is couched in terms of a supermartingale property for a functional of the Markov process. Equivalent formulations in terms of a drift inequality on the extended generator and on the resolvent kernel are given. Results related to (f, r)-regularity and to moderate deviation principle for int...

This paper presents the stability-improvement results of a synchronous generator (SG)-based one-machine infinite-bus (OMIB) system with a hybrid doubly-fed induction generator (DFIG)-based and permanent-magnet synchronous generator (PMSG)-based offshore wind farm (OWF) using a static synchronous compensator (STATCOM). The operating performance of the studied PMSG-based OWF is simulated by an eq...

It is the intent of this paper to add to, and improve the existing design tools for nonlinear output feedback systems. Considered here are systems, exhibiting parametric uncertainty, and containing nonlinearities dependent on the output alone. A lower triangular state transformation is utilised, equivalent to that obtained via the traditional and recursive backstepping algorithm. Extra damping ...