Enhanced Linear and Nonlinear Polarizabilities for the Li4Cluster. How Satisfactory Is the Agreement between Theory and Experiment for the Static Dipole Polarizability?

Experimental evidence and a theoretical model are presented for the magnetoelastic buckling of a rigid superconducting ring in a steady circumferential (toroidal)magnetic field. The theoretical model predicts a coupled translation and pitch displacement of the coil in the buckled mode. A discussion is given of both the linear and nonlinear magnetic perturbation forces. The experiments were conducted in liquid helium (4.2°K). The lowest natural frequency of the rigid coil on elastic springs was observed to decrease near the buckling current. Agreement between theory and experiment is fair. These results may have design implications for poloidal field coils in magnetic fusion Tokamak reactors.

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Nonlinear Response of Resin Matrix Laminates Using Endochronic Theory

Journal of Engineering Materials and Technology ◽

10.1115/1.2904125 ◽

1991 ◽

Vol 113 (4) ◽

pp. 449-455 ◽

Cited By ~ 14

Author(s):

S. R. Mathison ◽

M. J. Pindera ◽

C. T. Herakovich

Keyword(s):

Elastic Constants ◽

Nonlinear Response ◽

Resin Matrix ◽

Excellent Correlation ◽

Shear Tests ◽

Endochronic Theory ◽

Constitutive Response ◽

Linear And Nonlinear ◽

Theory And Experiment ◽

Angle Ply Laminates

The nonlinear response of laminated, resin matrix fibrous composites is modeled using orthotropic endochronic theory. The theory is formulated in terms of elastic constants and endochronic parameters characterizing the linear and nonlinear response, respectively, of unidirectional composites. All constants and parameters can be determined from normal (tension and/or compression) and shear tests on unidirectional and off-axis specimens. The nonlinear constitutive response relations for the unidirectional lamina are presented and the procedure for determining constants and parameters from test is described. The results are then used to predict the nonlinear response of unidirectional laminae and angle-ply laminates. Comparison between theory and experiment for compression loading of AS4/3502 graphite-epoxy, angle-ply laminates shows excellent correlation.

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The static dipole polarizability of aluminium atom: discrepancy between theory and experiment

Chemical Physics Letters ◽

10.1016/j.cplett.2004.09.013 ◽

2004 ◽

Vol 397 (4-6) ◽

pp. 459-461 ◽

Cited By ~ 13

Author(s):

P. Fuentealba

Keyword(s):

Dipole Polarizability ◽

Aluminium Atom ◽

Theory And Experiment

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On the static electric polarizability and hyperpolarizability of sodium. How good is the agreement between theory and experiment for the dipole polarizability?

Chemical Physics Letters ◽

10.1016/s0009-2614(00)01435-4 ◽

2001 ◽

Vol 334 (1-3) ◽

pp. 207-213 ◽

Cited By ~ 22

Author(s):

George Maroulis

Keyword(s):

Dipole Polarizability ◽

Electric Polarizability ◽

Theory And Experiment

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Experiments on vertical slender flexible cylinders clamped at both ends and subjected to axial flow

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2007.2131 ◽

2007 ◽

Vol 366 (1868) ◽

pp. 1275-1296 ◽

Cited By ~ 20

Author(s):

Y Modarres-Sadeghi ◽

M.P Païdoussis ◽

C Semler ◽

E Grinevich

Keyword(s):

Axial Flow ◽

Quantitative Agreement ◽

Dynamical Behaviour ◽

High Flow ◽

The Third ◽

Theoretical Predictions ◽

Series Of Experiments ◽

Linear And Nonlinear ◽

Theory And Experiment ◽

Flow Velocities

Three series of experiments were conducted on vertical clamped–clamped cylinders in order to observe experimentally the dynamical behaviour of the system, and the results are compared with theoretical predictions. In the first series of experiments, the downstream end of the clamped–clamped cylinder was free to slide axially, while in the second, the downstream end was fixed; the influence of externally applied axial compression was also studied in this series of experiments. The third series of experiments was similar to the second, except that a considerably more slender, hollow cylinder was used. In these experiments, the cylinder lost stability by divergence at a sufficiently high flow velocity and the amplitude of buckling increased thereafter. At higher flow velocities, the cylinder lost stability by flutter (attainable only in the third series of experiments), confirming experimentally the existence of a post-divergence oscillatory instability, which was previously predicted by both linear and nonlinear theory. Good quantitative agreement is obtained between theory and experiment for the amplitude of buckling, and for the critical flow velocities.

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