The dynamics of multibody systems

Part 1 of ebook "Mechatronic systems design: Methods, models, concepts" provides readers with contents including: Chapter 1 - Introduction; Chapter 2 - Elements of modeling; Chapter 3 - Simulation issues; Chapter 4 - Functional realization multibody dynamics; Chapter 5 - Functional realization the generic mechatronic transducer;...

403p dongmelo 20-05-2024 6 3   Download

For the resulting equation of double-curved shells, which is formed by revolution of an arbitrary in-plane meridian curve and cannot be represented analytically, there exists no analytical approach to problem setting and solution. This paper presents the digitalization of the meridian curve in the polar coordinate system, which forms double number series.

16p viisac 15-09-2023 3 3   Download

This paper presents the dynamic model and singularity-free simulation of electromechanical systems including closed loop multibody systems, massless gear transmission and electric motors. The dynamic model of these systems is established in matrix form and written in a Differential-Algebraic Equations form by applying the Lagrangian equation with multipliers and substructure method.

19p viwolverine 11-07-2023 4 2   Download

This paper reports the experimental study of a vibro-impact self-propulsion technique applying for small-bowel endoscopy by using a mesoscale capsule prototype, which is 56.9 mm in length and 19.4 mm in diameter. Based on nonsmooth multibody dynamics, a mathematical model is developed for studying the dynamical characteristics of the prototype.

9p guernsey 28-12-2021 7 0   Download

In this paper, we study the stochastic behavior of some lattice beams, called Hencky bar-chain model and their non-local continuous beam approximations. Hencky bar-chain model is a beam lattice composed of rigid segments, connected by some homogeneous rotational elastic links.

32p inception36 30-11-2021 9 2   Download

In the mechanisms and machines operating at high speeds, the elastic vibration of links is inevitable. In this paper the dynamic modeling and controller design for a flexible four-bar mechanism are studied. The fully coupled non-linear equations of motion are obtained by using the Lagrange’s equations with multipliers for constrained multibody systems. The resulting differential-algebraic equations are solved using numerical methods. A simple PD controller is designed to reduce the influence of the elastic link on the desired motion.

5p cothumenhmong11 10-05-2021 22 3   Download

This paper presents the dynamic model of multibody systems driven by electric motors, the so-called electromechanical systems. The mechanical systems considered in this study include an open loop and/or a closed loop, a full-actuated and an underactuated one. The dynamic model of this electromechanical systems is established in matrix form by applying the Lagrangian equation with and without multipliers and substructure method.

17p nguaconbaynhay11 07-04-2021 14 1   Download

Using the Kronecker product, a much larger size matrix can be formed from two matrix operands; therefore, the capability of matrix algebra in analyzing the kinematics and dynamics of multibody systems are extended. This paper employs Khang’s definition of the partial derivative of a matrix with respect to a vector and the Kronecker product to define translational and rotational Hessian matrices.

16p abcxyz123_02 03-03-2020 22 0   Download

In the present work the author proposes a form of canonical equations for a constrained mechanical system applying usefully for holonomic and nonholonomic systems. These equations are constructed by the help of the principle of compatibility [1]. Such a form of canonical equations will be used comfortable for studying dynamic of a multibody system.

6p bautroibinhyen211 28-10-2018 24 1   Download

The one of important problems of dynamics of a niultibody system its to establish automatically the equations of motion. In the present work it is constructed a form of equations of motion, which is useful for programming the problem of a multibody system, especially for applying the symbolic method in the automatical establishment of equations of motion of a multibody system.

4p bautroibinhyen211 28-10-2018 31 0   Download

Using the definit~on for the partial derivative of a scalar in respect to the vector, this paper presents the relations between 'kinetic energy and linear momentum, angular momentum of the particle and of the rigid body. The obtained results are useful for the investigation of the dynamics of multibody systems.

6p chikychiky 26-10-2018 54 0   Download

In this paper a matrix form of Gibbs-Appel function is recommended for multibody dynamics formulations. The form proposed in this paper seems to be more clear and suitable for automatic generation of dynamical equations of motion. The advantages followed from the formulation proppsed are illustrated through an example.

5p thienthanquydu 21-10-2018 26 0   Download

This book is intended to bridge a gap between the subject of classical vehicle dynamics and the general-purpose computer-based discipline known as multibody systems analysis (MBS). While there are several textbooks that focus entirely on the subject, and mathematical foundations, of vehicle dynamics and other more recent texts dealing with MBS, there are none yet that link the two subjects in a comprehensive manner.

50p 123859674 02-07-2012 85 9   Download

Multibody simulation consists of analyzing the dynamic behavior of a system of interconnected bodies comprised of flexible and/or rigid components. The bodies may be constrained with respect to each other via a kinematically admissible set of constraints modeled as joints. These systems can represent an automobile, a space structure with antenna deployment capabilities, an aircraft as an assemblage of rigid and flexible parts, a robot with manipulator arms, and so on. In all such cases, the components may undergo large rotation, large displacement, and finite strain effects....

74p ptng13 17-05-2012 105 15   Download

The origin of MSC.ADAMS can be traced back to a program of research initiated by Chace at the University of Michigan in 1967. By 1969 Chace (1969, 1970) and Korybalski (Chace and Korybalski, 1970) had completed the original version of DAMN (Dynamic Analysis of Mechanical Networks). This was historically the first general program to solve time histories for systems undergoing large displacement dynamic motion. This work led in 1971 to a new program DRAM (Dynamic Response of Articulated Machinery) that was further enhanced by Angel (Chace and Angel, 1977).

10p tieutaithan 22-11-2010 96 7   Download

In 1969, man travelled to the moon and back, using maths invented by Kepler, Newton and Einstein to calculate trajectories hundreds of thousands of miles long and spacecraft with less on-board computing power than today’s pocket calculator.

40p tieutaithan 22-11-2010 72 6   Download