基于小子样理论的坦克扭力轴疲劳寿命分析

基于小子样的思想,探讨扭力轴表面缺陷对其疲劳寿命的影响,有助于进一步找到降低扭力轴表面凹坑对扭力轴疲劳寿命影响的方法.     

Geodesic flows on path spaces

On the path space over a compact Riemannian manifold, the global existence and the global uniqueness of the quasi-invariant geodesic flows with respect to a negative Markov connection are obtained in this paper. The results answer affirmatively a left problem of Li.     

Total curvatures of geodesic spheres associated to quadratic curvature invariants

Total scalar curvatures of geodesic spheres obtained by integrating the second-order scalar invariants of the curvature tensor are investigated. The first terms in their power-series expansions are derived and these results are used to characterize the two-point homogeneous spaces among Riemannian manifolds with adapted holonomy. Dedicated to Professor L. VanheckeMathematics Subject Classification (2000) 53C25, 53C30     

Absolute continuity of Wasserstein geodesics in the Heisenberg group

In this paper we answer to a question raised by Ambrosio and Rigot [L. Ambrosio, S. Rigot, Optimal mass transportation in the Heisenberg group, J. Funct. Anal. 208 (2) (2004) 261-301] proving that any interior point of a Wasserstein geodesic in the Heisenberg group is absolutely continuous if one of the end-points is. Since our proof relies on the validity of the so-called Measure Contraction Property and on the fact that the optimal transport map exists and the Wasserstein geodesic is unique, the absolute continuity of Wasserstein geodesic also holds for Alexandrov spaces with curvature bounded from below.     

The ultimate state of polymeric materials and laminated and fibrous composites under asymmetric high-cycle loading

The prediction of the high-cycle fatigue strength of polymeric and composite materials in asymmetric loading is considered. The problem is solved on the basis of a nonlinear model of ultimate state allowing us to describe all typical forms of the diagrams of ultimate stresses. The material constants of the model are determined from the results of fatigue tests in symmetric reversed cycling, in a single fatigue test with the minimum stress equal to zero, and in a short-term strength test. The fatigue strength characteristics of some polymers, glass-fiber laminates, glass-fiber-reinforced plastics, organic-fiber-reinforced plastics, and wood laminates in asymmetric tension-compression, bending, and torsion have been calculated and approved experimentally. __________ Translated from Mekhanika Kompozitnykh Materialov, Vol. 44, No. 1, pp. 87–102, January–February, 2008.     

A new gravitational model for dark energy

A new gravitational model for dark energy is presented based on the model of de Sitter gauge theory of gravity.In the model,in addition to the cosmological constant,the homogeneous and isotropic torsion and its coupling with curvature play an important role for dark energy.The model may supply the universe with a natural transit from decelerating expansion to accelerating expansion.     

四阶整数辛群中扭元的共轭类

本文给出四阶整数辛群中扭元的全部共轭等价类.总共有55个不同的扭元等价类,它们的阶数分别是2, 3, 4, 5, 6, 8, 10, 12.没有其它阶的扭元.     

THE DYNAMIC BUCKLING OF AN ORTHOTROPIC CYLINDRICAL THIN SHELL UNDER TORSION VARYING AS A POWER FUNCTION OF TIME

The subject of this investigation is to study the buckling of orthotropic cylindricalthin shells under torsion,which is a power function of time.The dynamic stability and compati-bility equations are obtained first.These equations are subsequently reduced to a time dependentdifferential equation with variable coefficient by using Galerkin's method.Finally,the critical dy-namic and static loading,the corresponding wave numbers,the dynamic factors,critical time andcritical impulse are found analytically by applying the Ritz type variational method.Using thoseresults,the effects of the variations of the power of time in the torsion load expression,of theloading parameter,the ratio of the Young's moduli and the ratio of the radius to thickness onthe critical parameters are studied numerically.It is observed that these factors have appreciableeffects on the critical parameters of the problem in the heading.     

扭转冷作硬化的试验研究及分析

扭转冷作硬化技术，能产生充分的塑性变形，从而使试件后继屈服极限和极限载荷比拉伸冷作硬化有大幅度提高。本文从试验研究和理论分析两个方面深入研究了这一问题，引出了有益的结果。     

Beschreibung des visko-elastischen Verhaltens des polymeren Mischsystems Phenolnovolakharz-Nitrilkautschuk (PF/NBR) mit Hilfe der Van-der-Poel-Gleichung

Zusammenfassung Morphologische Untersuchungen an dem polymeren Mischsystem Phenolnovolakharz-Nitrilkautschuk haben gezeigt, daß diese Mischungen eine Struktur aufweisen, in der harte kugelige PF-Teilchen in einer Kautschukmatrix bzw. weiche Kautschukteilchen in einer Harzmatrix eingebettet sind. Mit Hilfe der morphologischen und mechanisch-dynamischen Untersuchungen wird versucht, das viskoelastische Verhalten von Polyblends mit der Van-der-Poel-Gleichung zu beschreiben. Es konnte gezeigt werden, daß bis zu ModulwertenGhart/Gweich ~ 100 eine gute Übereinstimmung mit der Van-der-Poel-Gleichung gefunden wird. Hohe Modulverhältnisse der harten Einlagerungskomponente zur weichen KomponentenGhart/Gweich ~ 1000, wie sie im kautschukelastischen Bereich auftreten, zeigen eine Übereinstimmung mit der Van-der-Poel-Gleichung nur bei einer Volumenkonzentration der harten EinlagerungskomponenteV _f < 0,3. Diese Ergebnisse werden mit anderen bekannten theoretischen Überlegungen über den Zusammenhang zwischen Elastizitätsmodul und Zusammensetzung von Verbundwerkstoffen verglichen.Schlüsselwörter Phenolnovolakharz-Nitrilkautschuk-System, viskoelastisches Verhalten, Torsionspendel, Van-der-Poel-Gleichung

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Summary Morphological investigations of the polymer compound-system novolak resin-nitril rubber (PF/NBR) have shown, that these mixtures exhibit structures, in which hard spherical particles are embedded in a rubber matrix, respectively soft rubber particles in a resin matrix.An attempt was made to describe the viscoelastic behaviour of these polyblends by means of morphological and dynamic-mechanical investigations with the relation given by Van der Poel.Up to ratios of the moduliGhard/Gsoft ~ 100 a good agreement with the Van-der-Poel equation was found. In the rubber elastic region at ratiosG hard/G soft ~ 1000 this agreement was found for volume concentrations of the phenolic componentV _f ~ 0.3 only.The results are compared with other existing theories on the correlation between elastic modulus and composition of compound materials.

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