Mass-spring systems are often used to model anatomical structures in medical simulation. They can produce plausible deformations in soft tissue, and are computationally efficient. Determining damping values for a stable mass-spring system can be difficult. Previously stable models can become unstable with topology changes, such as during cutting. In this paper, we derive bounds for the damping ...

In this paper, we present a novel deformable model for soft tissue simulation in a real-time manner. The innovative model consists of two submodels: the surface one and the internal one, which are based on Mass-Spring system and Medial Representation respectively. This proposed model is more accurate and efficient than the pure surface Mass-Spring one by taking advantages of Medial Representati...

We consider mechanical systems where the dynamics are partially constrained to prescribed trajectories. An example for such a system is a building crane with a load and the requirement that the load moves on a certain path. Modelling the system using Newton’s second law – “The force acting on an object is equal to the mass of that object times its acceleration.“ – and enforcing the servo constr...

This paper summarizes the mechanical and control design concepts of an inverted or unstable pendulum where stabilization is achieved by a moment exchange generated by a controlled symmetric rotation of a rotational inertia attached to the pendulum. The proposed design of the pendulum has a fixed bottom rotation or point of support as opposed to the usual vertically or horizontally moving point ...

This paper introduces an open-source software package SCILAB, an alternative of MATLAB, which can be used for robust control design and analysis of a typical mass-spring-damper (MSD) system. Using the previously published ideas, this popular mechanical system is considered to provide another example of usefulness of SCILAB for advanced control design. Keywords—Robust Control, SCILAB, Mass-Sprin...

This paper investigates the dynamics of an electromagnetic vortex bladeless wind turbine (VBWT) with a tunable mechanism. The mechanism comprises progressive-rate spring that is attached to oscillating magnet inside coil. stiffness progressively adjusted as speed changes tune fundamental frequency match shedding vortex-induced vibration (VIV) due flow crossing over mast. Coupled nonlinear equat...

This paper proposes mathematical modeling and analysis of ferrofluid lubricated newly designed slider bearing having convex pad (surface or plate) stator with two porous layers attached to the slider. The problem considers the effect of slip velocity proposed by Sparrow et. al.[1] and modified by Shah et. al.[2] at the film-porous interface. The squeeze velocity V=−which appears when the upper ...

(*) Manuscrit re,u Ie lor octobre 1960. (**) Douglas Aircraft Co., Inc., EI Segundo, California (U.S.A.). The first-named author is also Professor of Mathematics at Pepperdine College, Los Angeles. California. tial factors may be demonstrated. Later the students are shown how to apply the principles they have learned to more complex systems. The spring-mass system can be seen in Fig. 2. The upp...

In this paper, the analytical solution of an electric and Volterra edge dislocation in a functionally graded piezoelectric (FGP) medium is obtained by means of complex Fourier transform. The system is subjected to in-plane mechanical and electrical loading. The material properties of the medium vary exponentially with coordinating parallel to the crack. In this study, the rate of the gradual ch...

There are many occasions where the base of a robotic manipulator is attached to a moving platform, such as on a moving ship, terrain or space shuttle. In this paper a dynamic model of a robotic manipulator mounted on a moving base is derived using both Newton-Euler and Lagrange-Euler methods. The presented models are simulated for a Mitsubishi PA10-6CE robotic manipulator characteristics mounte...