scholarly journals Erratum: “A Stability Theorem for Mechanical Systems With Constraint Damping” (Journal of Applied Mechanics, 1970, 37, pp. 253–257)

1971 ◽  
Vol 38 (2) ◽  
pp. 563-563
Author(s):  
D. L. Mingori
Keyword(s):  
Mechanical Systems ◽  
Stability Theorem ◽  
Applied Mechanics ◽  
Constraint Damping

Admissibility of Acceleration Dependent Forces in Newtonian Dynamics

2012 ◽  
Vol 79 (4) ◽  
Author(s):  
Amitabha Ghosh
Keyword(s):  
Mechanical Systems ◽  
Technical Note ◽  
Newtonian Mechanics ◽  
Analytical Dynamics ◽  
Applied Mechanics ◽  
Newtonian Dynamics ◽  
Comprehensive Treatise

L. A. Pars (1964, A Treatise on Analytical Dynamics, Heinemann, London) has shown in his comprehensive treatise that acceleration dependent forces are not admissible in Newtonian mechanics. More recently, Zhechev (2007, On the Admissibility of Given Acceleration – Dependent Forces in Mechanics, Jr. of Applied Mechanics, ASME, 74, Jan, pp. 107–111; 2007, Peculiarities of the use of Acceleration – Dependent Forces in Mechanical Problems, Proc. I. Mech. E, 221 Part K, pp. 497–503) has shown that the proof given by Pars is faulty and has concluded that acceleration dependent forces are admissible in Newtonian mechanics and in many cases such forces are useful in controlling mechanical systems. This brief technical note attempts to show that the matter is more complex and needs further discussion.

A Stability Theorem for Mechanical Systems With Constraint Damping

1970 ◽  
Vol 37 (2) ◽  
pp. 253-258 ◽  
Author(s):  
D. L. Mingori
Keyword(s):  
Energy Dissipation ◽  
Mechanical System ◽  
Stability Theorem ◽  
General Description ◽  
Stability Of Motion ◽  
The Past ◽  
Artificial Earth Satellites ◽  
Artificial Earth ◽  
The Stability ◽  
Constraint Damping

The effect of energy dissipation on the stability of motion of a mechanical system is a topic that has received considerable attention over the past 100 years. Since the advent of artificial Earth satellites, investigations concerned with spacecraft stability have led to renewed interest in this subject. Whereas previous work has dealt almost exclusively with damping forces that may be classified as generalized velocity damping forces; i.e., damping forces that satisfy the inequality ∑i=1nQiq˙i≦0 where the Qi’s are nonconservative generalized forces and the q˙i’s are generalized velocities, it has been found recently that a more general description of damping is sometimes desirable. Damping forces not satisfying the previously mentioned inequality have been called “constraint damping forces.” In the present paper, a theorem useful in the study of systems with constraint damping is stated and proved. This theorem represents a generalization of the Kelvin-Tait-Chetaev theorem for systems with generalized velocity damping only.

Phase space of mechanical systems with a gauge group

1991 ◽  
Vol 161 (2) ◽  
pp. 13-75 ◽  
Author(s):  
Lev V. Prokhorov ◽  
Sergei V. Shabanov
Keyword(s):  
Phase Space ◽  
Gauge Group ◽  
Mechanical Systems

EVALUATION OF MECHANICAL SYSTEMS USED IN PERFUSION

1972 ◽  
Vol 68 (2_Supplb) ◽  
pp. S44-S73 ◽  
Author(s):  
Eugene F. Bernstein
Keyword(s):  
Mechanical Systems ◽  
Organ Perfusion ◽  
Critical Factors ◽  
System 2 ◽  
Common Problems ◽  
Mechanical Components ◽  
Perfusion Experiment ◽  
Selection Of

ABSTRACT Among the critical factors in organ perfusion are (1) the mechanical components of the system, (2) the composition of the perfusate, and (3) the perfusing conditions. In this review, particular consideration is given to the pump, the oxygenator, and cannulas in such systems. Emphasis is placed upon the selection of pertinent equipment for the goals of a particular perfusion experiment, based upon the criteria of adequacy of the perfusion. Common problems in organ perfusion are summarized, and potential solutions to the perfusion problem, involving either biologic or mechanical extracorporeal systems, are suggested.

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