Theory of Motion of Surfaces

2011 ◽  
pp. 159-176
Author(s):  
Andrei Ludu
Keyword(s):  
Theory Of Motion

Variational Theory of Motion of Curved, Twisted and Extensible Elastic Rods

1993 ◽  
Author(s):  
Iradj Tadjbakhsh ◽  
Dimitris C. Lagoudas
Keyword(s):  
Elastic Rods ◽  
Variational Theory ◽  
Theory Of Motion

scholarly journals Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions

Entropy ◽  
2021 ◽  
Vol 23 (4) ◽  
pp. 444
Author(s):  
Nicolae Dan Tesloianu ◽  
Lucian Dobreci ◽  
Vlad Ghizdovat ◽  
Andrei Zala ◽  
Adrian Valentin Cotirlet ◽  
...  
Keyword(s):  
Stochastic Processes ◽  
Standard Form ◽  
Momentum Conservation ◽  
Relativity Theory ◽  
Horizontal Pipe ◽  
Scale Transition ◽  
Theory Of Motion ◽  
Multifractal Theory ◽  
Scale Relativity ◽  
Specific Momentum

By assimilating biological systems, both structural and functional, into multifractal objects, their behavior can be described in the framework of the scale relativity theory, in any of its forms (standard form in Nottale’s sense and/or the form of the multifractal theory of motion). By operating in the context of the multifractal theory of motion, based on multifractalization through non-Markovian stochastic processes, the main results of Nottale’s theory can be generalized (specific momentum conservation laws, both at differentiable and non-differentiable resolution scales, specific momentum conservation law associated with the differentiable–non-differentiable scale transition, etc.). In such a context, all results are explicated through analyzing biological processes, such as acute arterial occlusions as scale transitions. Thus, we show through a biophysical multifractal model that the blocking of the lumen of a healthy artery can happen as a result of the “stopping effect” associated with the differentiable-non-differentiable scale transition. We consider that blood entities move on continuous but non-differentiable (multifractal) curves. We determine the biophysical parameters that characterize the blood flow as a Bingham-type rheological fluid through a normal arterial structure assimilated with a horizontal “pipe” with circular symmetry. Our model has been validated based on experimental clinical data.

On the theory of motion of a rigid body with a vibrating suspension

2009 ◽  
Vol 54 (8) ◽  
pp. 392-396 ◽  
Author(s):  
A. P. Markeev
Keyword(s):  
Rigid Body ◽  
Theory Of Motion

scholarly journals XI. Investigations, founded on the theory of motion, for determining the times of vibration of watch balances

1794 ◽  
Vol 84 ◽  
pp. 119-168
Keyword(s):  
Sixteenth Century ◽  
Opposite Direction ◽  
Measuring Time ◽  
Theory Of Motion ◽  
Vibratory Motion ◽  
The Times ◽  
Historical Accounts

Instruments for measuring time by vibratory motion were invented early in the sixteenth century: the single pendulum had been known to afford a very exact measure of time long before this period; yet it appears from the testimony of historical accounts, as well as other evidences, that the balance was universally adopted in the construction of the first clocks and watches; nor was it till the year 1657 that Mr. Huygens united pendulums with clock-work. The first essays of an invention, formed on principles at once new and complicated, we may suppose were imperfectly executed. In the watches of the early constructions, some of which are still preserved, the balance vibrated merely by the impulses of the wheels, without other control or regulation: the motion communicated to the balance by one impulse continued till it was destroyed, partly by friction, and partly by a succeeding impulse in the opposite direction; the vibrations must of course have been very unsteady and irregular.

scholarly journals Four-Pose Synthesis of Angle-Symmetric 6R Linkages

2015 ◽  
Vol 7 (4) ◽  
Author(s):  
Gábor Hegedüs ◽  
Josef Schicho ◽  
Hans-Peter Schröcker
Keyword(s):  
Rotation Angle ◽  
Dual Quaternions ◽  
Revolute Joints ◽  
Factorization Theory ◽  
Theory Of Motion ◽  
Kinematic Loops ◽  
Parametric Families ◽  
Synthesis Approach ◽  
Relative Motions

We use the recently introduced factorization theory of motion polynomials over the dual quaternions and cubic interpolation on quadrics for the synthesis of closed kinematic loops with six revolute joints that visit four prescribed poses. The resulting 6R linkages are special in the sense that the relative motions of all links are rational. They exhibit certain elegant properties such as symmetry in the rotation angles and, at least in theory, full-cycle mobility. Our synthesis approach admits either no solution or two one-parametric families of solutions. We suggest strategies for picking good solutions from these families. They ensure a fair coupler motion and optimize other linkage characteristics such as total rotation angle or linkage size. A comprehensive synthesis example is provided.

THEORY OF MOTION AND THEOLOGY

2010 ◽  
pp. 243-276
Author(s):  
W. K. C. Guthrie
Keyword(s):  
Theory Of Motion
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