scholarly journals A Method to Determine Structural Patterns of Mechanical Systems with Impacts

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Barbara Blazejczyk-Okolewska ◽  
Wioleta Serweta
Keyword(s):  
Finite Number ◽  
Degrees Of Freedom ◽  
Matrix Representation ◽  
Mechanical Systems ◽  
Structural Classification ◽  
Structural Patterns ◽  
Equivalent Systems ◽  
Vibroimpact Systems

A structural classification of vibroimpact systems based on the principles given by Blazejczyk-Okolewska et al. (2004) has been proposed for an arbitrary finite number of degrees-of-freedom. A new matrix representation to formulate the notation of the relations occurring in the system has been introduced. The developed identification and elimination procedures of equivalent systems and identification procedures of connected systems enable the determination of a set of structural patterns of systems with impacts.

scholarly journals On Structural Patterns of Mechanical Systems with Impacts with One and Two Degrees-of-Freedom

2013 ◽  
Vol 2013 ◽  
pp. 1-22 ◽  
Author(s):  
Barbara Blazejczyk-Okolewska
Keyword(s):  
Degrees Of Freedom ◽  
Matrix Representation ◽  
Mechanical Systems ◽  
Degree Of Freedom ◽  
Two Degrees Of Freedom ◽  
Structural Patterns ◽  
General Method

Structural patterns of mechanical systems with impacts with one degree-of-freedom and two degrees-of-freedom, with elastic connections, have been identified and described. For their identification, a general method proposed by the author has been applied. This method uses (i) a matrix representation of the system with impacts, (ii) procedures that enable generations of all combinations of such systems as well as their identification and elimination of redundant equivalent combinations, and (iii) a procedure for elimination of disconnected systems.

On the Dynamic Isotropy of Mechanisms With Two Degrees of Freedom

2005 ◽  
Author(s):  
Raffaele Di Gregorio ◽  
Alessandro Cammarata ◽  
Rosario Sinatra
Keyword(s):  
Finite Number ◽  
Degrees Of Freedom ◽  
Point Of View ◽  
Closed Curves ◽  
Special Cases ◽  
Dynamic Performances ◽  
Definition Of ◽  
Geometric Locus

The comparison of mechanisms with different topology or with different geometry, but with the same topology, is a necessary operation during the design of a machine sized for a given task. Therefore, tools that evaluate the dynamic performances of a mechanism are welcomed. This paper deals with the dynamic isotropy of 2-dof mechanisms starting from the definition introduced in a previous paper. In particular, starting from the condition that identifies the dynamically isotropic configurations, it shows that, provided some special cases are not considered, 2-dof mechanisms have at most a finite number of isotropic configurations. Moreover, it shows that, provided the dynamically isotropic configurations are excluded, the geometric locus of the configuration space that collects the points associated to configurations with the same dynamic isotropy is constituted by closed curves. This results will allow the classification of 2-dof mechanisms from the dynamic-isotropy point of view, and the definition of some methodologies for the characterization of the dynamic isotropy of these mechanisms. Finally, examples of applications of the obtained results will be given.

scholarly journals Vibration Protection of Mechanical Systems Consisting of Solid And Deformable Bodies

2018 ◽  
Vol 3 (9) ◽  
pp. 18
Author(s):  
Ismail Ibrahimovich Safarov ◽  
Teshaev Muhsin Khudoyberdiyevich
Keyword(s):  
Finite Number ◽  
Degrees Of Freedom ◽  
Mechanical Systems ◽  
Numerical Results ◽  
Constructive Method ◽  
Vibration Protection ◽  
Deformable Bodies ◽  
Reaction Forces ◽  
Active Vibration ◽  
Servo Constraints

In this  paper active vibration protection of mechanical systems consisting of solid and deformable bodies is considered. To actively control the oscillations of dissipative mechanical systems, a constructive method is used to determine the structure of the reaction forces of servo constraints. As an example, we consider the system with a finite number of degrees of freedom. Numerical results for various harmonic are also given.

Hamiltonian formulation for mechanical systems with nonholonomic constraints

2014 ◽  
Vol 11 (03) ◽  
pp. 1450017
Author(s):  
G. F. Torres del Castillo ◽  
O. Sosa-Rodríguez
Keyword(s):  
Finite Number ◽  
Mechanical System ◽  
Infinite Number ◽  
Degrees Of Freedom ◽  
Hamiltonian Structure ◽  
Equations Of Motion ◽  
Hamiltonian Formulation ◽  
Mechanical Systems ◽  
Nonholonomic Constraints ◽  
Hamilton Equations

It is shown that for a mechanical system with a finite number of degrees of freedom, subject to nonholonomic constraints, there exists an infinite number of Hamiltonians and symplectic structures such that the equations of motion can be written as the Hamilton equations, with the original constraints incorporated in the Hamiltonian structure.

CONTINUOUS DEPENDENCE ON DATA FOR VIBRO-IMPACT PROBLEMS

2005 ◽  
Vol 15 (01) ◽  
pp. 53-93 ◽  
Author(s):  
LAETITIA PAOLI
Keyword(s):  
Finite Number ◽  
Differential Inclusion ◽  
Continuous Dependence ◽  
Degrees Of Freedom ◽  
Mechanical Systems ◽  
Approximate Solutions ◽  
Unilateral Constraints ◽  
Impact Problems ◽  
Continuous Dependence On Data ◽  
Continuous Dependence Of Solutions

We consider vibro-impact problems, i.e. mechanical systems with a finite number of degrees of freedom subject to frictionless unilateral constraints. The dynamics is described by a second-order measure differential inclusion completed by an impact law of Newton's type. Motivated by the computation of approximate solutions, we study in this paper the continuous dependence of solutions on data. When several constraints can be active at the same time, continuity on data does not hold in general and an example of such a behavior is presented. We then propose a criterion involving the geometry of the active constraints along the limit trajectory which ensures continuity on data.

Investigation of Connotation and Classification of Fabric Structure

2011 ◽  
Vol 332-334 ◽  
pp. 804-807
Author(s):  
Rang Tong Liu ◽  
Feng Hua Liu ◽  
Yan Fei Yang
Keyword(s):  
Geometrical Structure ◽  
System Model ◽  
Structural Classification ◽  
Systematic Method ◽  
Compact Structure ◽  
Fabric Structure ◽  
Solid Foundation ◽  
Fabric Design

Structural connotation of fabric is analyzed from the definition, formation and design of fabric. And structural classification of fabric by systematic method is also provided. Fabric structure is inevitably classified into four aspects, i.e., geometrical structure, compact structure, pore structure and surface structure. The intension system model is established from the structural hiberarchy, geometry and aggregation of composed elements in fabric. And the complexity, changeability and polyaphaism of fabric structure are interpreted from its connotation. It is complexity, variability and polymorphism of fabric structure that lead to the difficult determination of fabric structure. So it is difficult to form fabric design and objective products, which also further stress the importance to study fabric structure by systematic method. All these conclusions can lay a solid foundation for extraction of textile science.

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