Lagrangian dynamics

Part 2 of ebook "Classical mechanics with Mathematica" provides readers with contents including: Chapter 14 - Dynamics of a material point; Chapter 15 - General principles of rigid body dynamics; Chapter 16 - Dynamics of a rigid body; Chapter 17 - Lagrangian dynamics; Chapter 18 - Hamiltonian dynamics; Chapter 19 - The Hamilton-Jacobi theory; Chapter 20 - Completely integrable systems; Chapter 21 - Elements of statistical mechanics of equilibrium; Chapter 22 - Impulsive dynamics; Chapter 23 - Introduction to fluid mechanics; Chapter 24 - An Introduction to special relativity;...

292p giangdongdinh 28-05-2024 4 2   Download

Part 1 book "1000 solved problems in classical physics" includes content: Kinematics and statics; particle dynamics; rotational kinematics; rotational dynamics; gravitation; oscillations; lagrangian and hamiltonian mechanics.

354p muasambanhan07 08-02-2024 6 0   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

(BQ) In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism.

317p runordie6 10-08-2022 8 2   Download

The paper has developed an adaptive algorithm using neural network for controlling dual-arm robotic system in stable holding a rectangle object and moving it to track the desired trajectories. Firstly, an overall dynamic of the system including the dual-arm robot and the object is derived based on Euler-Lagrangian principle.

7p visherylsandber 04-07-2022 8 2   Download

This paper focuses on the numerical simulation of an incompressible, immiscible, and Newtonian fluid for the contraction process of a fluid compound filament by solving the Navier-Stokes equations. The front-tracking method is used to solve this problem, which uses connected segments (Lagrangian grid) that move on a fixed grid (Eulerian grid) to represent the interface between the liquids.

9p spiritedaway36 28-11-2021 9 1   Download

The paper has developed an adaptive control using neural network for controlling a dual-arm robotic system in moving a rectangle object to the desired trajectories. Firstly, the overall dynamics of the manipulators and the object have been derived based on Euler-Lagrangian principle. And then based on the dynamics, a controller has been proposed to achieve the desired trajectories of the grasping object

9p spiritedaway36 28-11-2021 35 5   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

This paper presents first the dynamic modeling of the system based on Euler – Lagrangian method and then uncertain model is obtained by considering the parametric uncertainty in moment of inertia of pendulums and friction coefficient of hinges and cart.

7p praishy2 27-02-2019 18 0   Download

Eulerian dynamical equations in a three-dimensional domain are used to construct a formal symplectic structure on time-extended space. Symmetries, invariants, and conservation laws are related to this geometric structure. The symplectic structure incorporates dynamics of helicities as identities.

16p danhdanh27 07-01-2019 13 1   Download

This paper addresses the modeling of a planar parallel robot including electric motors. The dynamic model of the system is derived by applying the substructure method and Lagrangian equations with multipliers in the form of redundant generalized coordinates. These equations are then transformed to the form of minimal coordinates of operational variables. Based on this form, a sliding mode controller (SMC) is designed for trajectory tracking in a task space.

13p thuyliebe 05-10-2018 29 3   Download

Báo cáo đưa ra phương pháp Particle-based (hay còn gọi là phương pháp Lagrangian), cho phép mô tả chất lỏng sử dụng các phần tử (particles). Bằng cách trực tiếp theo dõi từng phần của quá trình các phần tử di chuyển qua những miền trống. Phương pháp particle không chú trọng việc bảo toàn khối lượng và cung cấp khái niệm mô phỏng khung đơn giản, linh hoạt.

5p cumeo2006 02-07-2018 39 1   Download

(bq) part 1 book "robotics and automation handbook" has contents: the history of robotics, rigid body kinematics, inverse kinematics, newton euler dynamics of robots, lagrangian dynamics, kane’s method in robotics, the dynamics of systems of interacting rigid bodies,...and other contents.

275p bautroibinhyen20 06-03-2017 64 15   Download

(bq) part 1 book "crc press - robotics and automation handbook" has contents: the history of robotics, rigid body kinematics, inverse kinematics, lagrangian dynamics, the dynamics of systems of interacting rigid bodies, trajectory planning for flexible robots,...and other contents.

275p bautroibinhyen19 24-02-2017 58 11   Download

This work develops the geometry and dynamics of mechanical systems with nonholonomic constraints and symmetry from the perspective of Lagrangian me- chanics and with a view to control-theoretical applications. The basic methodology is that of geometric mechanics applied to the Lagrange-d’Alembert formulation, generalizing the use of connections and momentum maps associated with a given symmetry group to this case.

79p loixinloi 08-05-2013 49 1   Download

One of the important tools of geometric mechanics is reduction theory (either Lagrangian or Hamiltonian),which provides a well-developed method for dealing with dynamic constraints. In this theory the dynamic constraints and the sym- metry group are used to lower the dimension of the system by constructing an associated reduced system. We develop the Lagrangian version of this theory for nonholonomic systems in this paper. We have focussed on Lagrangian systems because this is a convenient context for applications to control theory. ...

130p loixinloi 08-05-2013 45 4   Download

We describe an exact decoding algorithm for syntax-based statistical translation. The approach uses Lagrangian relaxation to decompose the decoding problem into tractable subproblems, thereby avoiding exhaustive dynamic programming. The method recovers exact solutions, with certificates of optimality, on over 97% of test examples; it has comparable speed to state-of-the-art decoders.

11p hongdo_1 12-04-2013 52 2   Download

Introduction to hydrodynamic modelling and granular dynamics The present text introduces hydrodynamic modelling principles in the context of batch wet granulation and coating systems and it reviews the latest achievements and proposals in the scientific literature in this field. The text concerns primarily the Eulerian and the Lagrangian modelling technique. In accordance with some of the latest published Ph.d. thesis in the field of hydrodynamics modelling, the Lagrangian technique is divided into a soft-particle and a hardsphere approach.

42p tuanloc_do 04-12-2012 52 1   Download

The last decades have marked the beginning of a new era in Celestial Mechanics. The challenges came from several different directions. The stability theory of nearly–integrable systems (a class of problems which includes many models of Celestial Mechanics) profited from the breakthrough represented by the Kolmogorov– Arnold–Moser theory, which also provides tools for determining explicitly the parameter values allowing for stability. A confinement of the actions for exponential times was guaranteed by Nekhoroshev’s theorem, which gives much information about the geography of the resonances.

0p tom_123 14-11-2012 40 3   Download

Integrating statistics and dynamics within a single volume, the book will support the study of engineering mechanics throughout an undergraduate course. The theory of two- and three-dimensional dynamics of particles and rigid bodies, leading to Euler's equations, is developed. The vibration of one- and two-degree-of-freedom systems and an introduction to automatic control, now including frequency response methods, are covered.

96p kennybibo 14-07-2012 62 4   Download