Results 201 to 210 of about 1,590 (240)
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Spherical and linear b‐tensor encoding (STE and LTE) enables quantification of microscopic diffusion anisotropy and diffusional variance. However, such waveforms are often variably sensitive to time‐dependent diffusion, causing rotational variance and spectral mismatch.
Felix Mortensen +6 more
wiley +1 more source
Coupled responses of thermomechanical waves in functionally graded viscoelastic nanobeams via thermoelastic heat conduction model including Atangana-Baleanu fractional derivative. [PDF]
Sci RepAbouelregal AE +3 more
europepmc +1 more source
Size-dependent dispersion characteristics of piezoelectric sandwich nanoplates taking surface effects into account. [PDF]
Sci RepHu B +6 more
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AI-driven adaptive vibration control in smart plate systems: a sustainable approach for next-generation sports engineering. [PDF]
Sci RepLin B, Wang J, Safarpour M, Yaylacı M.
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Analysis of sandwich graphene origami composite plate sandwiched by piezoelectric/piezomagnetic layers: A higher-order electro-magneto-elastic analysis. [PDF]
HeliyonNtayeesh TJ, Arefi M.
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When is Hamilton's Principle an Extremum Principle
AIAA Journal, 1974For a dynamic system, the action / for motion from time f0 to time t\ can be written as I = ^(T— V)dt, where T is the kinetic energy and V is the potential energy. In many references to Hamilton's principle, particularly in the engineering literature, it is stated or implied that the true motion of the system will give the action an extreme value ...
Smith, Donald R., Smith, C. V. jun.
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The Quarterly Journal of Mechanics and Applied Mathematics, 1954
IN a recent paper R. S. Capon (1) quotes with approval an argument of Hertz purporting to show that Hamilton's principle is not satisfied for nonholonomic systems and in particular does not yield Lagrange's equations with undetermined multipliers.
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IN a recent paper R. S. Capon (1) quotes with approval an argument of Hertz purporting to show that Hamilton's principle is not satisfied for nonholonomic systems and in particular does not yield Lagrange's equations with undetermined multipliers.
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Hamilton's Principle for Fluids
The Physics of Fluids, 1966Hamilton's principle is used to derive the force equation for both nonrelativistic and relativistic flow of a compressible, one-species, inviscid fluid. Rotational flow is predicted by use of Lin's constraint. Lin's constraint is given a physical interpretation and found to be considerably simplified by use of four-dimensional notation.
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Hamilton's Principle for Nonholonomic Systems
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1994The authors make a generalization of the variational principles of Hölder, Voronets, and Suslov to the dynamical systems with many degrees of freedom in the presence of nonlinear nonholonomic rheonomous constraints. After introducing the Poincaré parameters and generalized virtual displacements, an exhaustive discussion about two possibilities of ...
Ghori, Q. K., Ahmed, N.
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2005
AbstractThis chapter shows that the general calculus of variations can be used to derive variational principles in mechanics. Two different, but closely related, variational principles are presented here: Hamilton's Principle and the phase-space Hamilton's Principle.
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AbstractThis chapter shows that the general calculus of variations can be used to derive variational principles in mechanics. Two different, but closely related, variational principles are presented here: Hamilton's Principle and the phase-space Hamilton's Principle.
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