Relativistic variation principles and equation of motion for variable mass controllable mechanical system

1996 ◽  
Vol 17 (7) ◽  
pp. 683-692 ◽  
Author(s):  
Luo Shaokai
Keyword(s):  
Mechanical System ◽  
Variable Mass ◽  
Equation Of Motion

scholarly journals On algebraic integrals of equations of motion of a complex mechanical system

2021 ◽  
pp. 29-36
Author(s):  
Nikolay Makeyev ◽  
Keyword(s):  
Mechanical System ◽  
Gravity Field ◽  
Equations Of Motion ◽  
Variable Mass ◽  
Equation Of Motion ◽  
First Integrals ◽  
Mass Composition ◽  
Complex Mechanical System ◽  
Fixed Pole ◽  
Variable Configuration

Criteria for the existence of certain types of algebraic first integrals of the equation of motion of a mechanical system of variable mass composition and variable configuration are given. The carrier body of the system (base body) rotates around a fixed pole in a stationary homogeneous gravity field under the influence of specified nonstationary forces. The types of partial integrals are indicated and restrictions are established that determine their existence.

scholarly journals The field of algebraic integrals of equations of motion of a complex mechanical system

2021 ◽  
pp. 37-44
Author(s):  
Nikolay Makeyev ◽  
Keyword(s):  
Mechanical System ◽  
Gravity Field ◽  
Equations Of Motion ◽  
Variable Mass ◽  
Equation Of Motion ◽  
First Integrals ◽  
Mass Composition ◽  
Complex Mechanical System ◽  
Fixed Pole ◽  
Variable Configuration

Criteria for the existence of certain types of algebraic first integrals of the equation of motion of a mechanical system of variable mass composition and variable configuration are given. The carrier body of the system (base body) rotates around a fixed pole in a stationary homogeneous gravity field under the influence of specified nonstationary forces. The types of partial integrals are indicated and restrictions are established that determine their existence.

Dynamic Modal Analysis of a Mechanical System with Deformable Elements

2020 ◽  
Vol 896 ◽  
pp. 75-82
Author(s):  
Leonard Marius Ciurezu-Gherghe ◽  
Gabriel Cătălin Marinescu ◽  
Andra Raluca Constantin ◽  
Nicolae Dumitru
Keyword(s):  
Finite Element ◽  
Finite Element Modeling ◽  
Modal Analysis ◽  
Mechanical System ◽  
Analytical Method ◽  
Virtual Prototyping ◽  
Equation Of Motion ◽  
Adams Software ◽  
Deformable Bodies ◽  
Dynamic Components

This paper addresses to a dynamic modal analysis of a crank-type mechanism. The proposed mechanism will have all the components considered as deformable bodies. Thus, the proposed research consists on two methods, namely an analytical and a numerical one. The analytical method allows to identify the static and dynamic components of the matrices that from the equation of motion based on the Kane formalism and the finite element modeling. The numerical method is based on the virtual prototyping of the whole assembly with the ADAMS software. In this case, for the deformable bodies analysis, will be used the method of superposition which have on its base the modal analysis and the RR Craig and MCC Bampton procedure.

Form invariance and Lie symmetry of variable mass nonholonomic mechanical system

2005 ◽  
Vol 26 (2) ◽  
pp. 204-209 ◽  
Author(s):  
Fang Jian-hui ◽  
Chen Pei-sheng ◽  
Zhang Jun
Keyword(s):  
Mechanical System ◽  
Variable Mass ◽  
Lie Symmetry ◽  
Form Invariance

scholarly journals The Mei symmetry of discrete difference sequence mechanical system with variable mass

2008 ◽  
Vol 57 (10) ◽  
pp. 6056
Author(s):  
Huang Xiao-Hong ◽  
Zhang Xiao-Bo ◽  
Shi Shen-Yang
Keyword(s):  
Mechanical System ◽  
Variable Mass ◽  
Difference Sequence ◽  
Mei Symmetry

scholarly journals Realizing brachistochronic planar motion of a variable mass nonholonomic mechanical system by an ideal holonomic constraint with restricted reaction

Filomat ◽  
2019 ◽  
Vol 33 (14) ◽  
pp. 4387-4401
Author(s):  
Bojan Jeremic ◽  
Radoslav Radulovic ◽  
Nemanja Zoric ◽  
Milan Drazic
Keyword(s):  
Mechanical System ◽  
Degrees Of Freedom ◽  
Variable Mass ◽  
Planar Motion ◽  
Arbitrary Field ◽  
Mass Variation ◽  
Singular Optimal Control ◽  
Control Structures ◽  
Holonomic Constraint ◽  
Different Types

The paper considers realization of the brachistochronic motion of a nonholonomic mechanical system, composed of variable mass particles, by means of an ideal holonomic constraint with restricted reaction. It is assumed that the system performs planar motion in an arbitrary field of forces and that it has two degrees of freedom. In addition, the laws of the time-rate of mass variation of the particles, as well as relative velocities of the expelled and gained particles, respectively, are known. Restricted reaction of the holonomic constraint is taken for the scalar control. Applying Pontryagin?s maximum principle and singular optimal control theory, the problem of brachistochronic motion is solved as a two-point boundary value problem (TPBVP). Since the reaction of the constraint is restricted, different types of control structures are examined, from singular to totally nonsingular. The considerations are illustrated via an example.

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