in this study a new minimum lumped electrical model of total circulatory system through numerical solutions to approximate the response of the human circulatory system was presented. among five existent ventricular elastances as activity function of heart pumps, a more accurate model was chosen as well as the operation of baroreflex system to accommodate variations in heart rate and systemic va...

A steady-state dynamic model of a cable in air is put forward by using some tensor relations. For the dynamic motion of a long-span Cable-Driven Parallel Robot CDPR system, a driven cable deployment and retrieval mathematical model of CDPR is developed by employing lumped mass method. The effects of cable mass are taken into account. The boundary condition of cable and initial values of equatio...

To understand and thus improve the dynamic behaviour of railway pantograph-catenary system, researchers have developed a number approaches to catenary modelling. The Finite Element (FE) approach provides high degree accuracy, but at cost significant computing time. In contrast, in active pantographs generally use relatively simple (and fast running) lumped-mass models. This paper aims on models...

In this paper we develop a globally stabilizing stability-based switching controller for a three-state lumped parameter centrifugal compressor surge model. The proposed model involves pressure and mass flow compression system dynamics as well as spool dynamics to account for the influence of speed transients on the compression surge dynamics. The proposed nonlinear switching controller architec...

Finite volume methods (FVM) and finite element methods (FEM) are popular tools to solve the parabolic partial differential equation describing the propagation of the electrical impulse in the heart muscle. This report demonstrates that these formulations are indeed equivalent provided that (1) linear elements are used for the FEM, and (2) the mass matrix is lumped. As a consequence, exact local...

We consider the initial boundary value problem for the homogeneous heat equation, with homogeneous Dirichlet boundary conditions. By the maximum principle the solution is nonnegative for positive time if the initial data are nonnegative. We study to what extent this property carries over to some piecewise linear finite element discretizations, namely the Standard Galerkin method, the Lumped Mas...

A distributed drift-flux model and a low-order lumped model describing a multiphase (gas-liquid) flow in the well during Under-Balanced Drilling (UBD) has been presented. This paper presents a novel nonlinear adaptive observer to estimate the total mass of gas and liquid in the annulus and production constant of gas and liquid from the reservoir into the well during UBD operations. Furthermore,...

This paper presents a new approach for the modelling of a screw shaft including the axial and torsional dynamics in the same model. The model includes the distributed parameter dynamics of the ball screw system and the effect of mass distribution. This is based on the flexibility of the Transmission Line Matrix Method (TLM) to develop lumped and distributed parameter systems. The procedure for ...