The dynamic loads, which arise in main beam of bridge crane

Install, what about 80 % rejections of contemporary weight-lifting machines bond with dynamic loading, which bring to higher shabby surface of frictionless, tiredness destriction hardware and details of mechanism, appearance inadmissible residual strains. That witness about important dynamic calculations, without which impossible create of machines with elevated degree technique – economical index. The questions reduce hardware of bridge cranes are rather actual, therefore elaboration methods calculations of metallic constructions bridge of cranes have important meaning. The dynamic process which arise in metallic constructions of cranes considerable increase strain conditions of beams and due take into consideration at calculations. On the article consideration questions vibrations in main beam of bridge crane, which appears during the moving through the bridge of carry cart. It is taken as a condition, that mass which equally distributed on the whole of the length of the beam, is concentrated in three points, that are in the middle of a span and two border points. Follow the calculations with take into consideration conditionally placing of rail on crane bridge and the law distribution of loading from motion wheels which motion on beam. In this take into consideration characters of beam that is her span, hard of section and intensive distribution of mass in main beam. It is made a conclusion about the influence of characteristic of beam on the resonance regime of vibration.

Aubry-Mather type at the single resonance

This chapter proves Aubry-Mather type in the single-resonance regime. It proves that for a single-resonance normal form system which satisfies the non-degeneracy conditions, every c in the resonance curve is of either Aubry-Mather or bifurcation Aubry-Mather type. The main results are Theorems 9.3 and 9.5, which restate Propositions 3.9 and 3.10. The chapter then proves that the conditions hold on an open and dense set of Hamiltonians. It discusses bifurcations in the double maxima case, as well as hyperbolic coordinates. The chapter also examines normally hyperbolic invariant cylinder, the localization of the Aubry and Mañé sets, and the genericity of the single-resonance conditions.

Aubry-Mather type at the Double Resonance

This chapter proves Aubry-Mather type for the double resonance regime. It begins by considering the “non-critical energy case” and showing that the cohomologies as chosen are of Aubry-Mather type. The proof consists of two cases. In the first case, the chapter uses the almost verticality of the cylinder, and the idea is similar to the proof of Theorem 9.3. It applies the a priori Lipschitz estimates for the Aubry sets. In the second case, the chapter uses the strong Lipschitz estimate for the energy, and the idea is similar to the proof of Theorem 11.1. It then looks at the construction of the local coordinates. This is done separately near the hyperbolic fixed point (local) and away from it (global).

Imaging the onset of the resonance regime in low-energy NO-He collisions

At low energies, the quantum wave–like nature of molecular interactions results in distinctive scattering behavior, ranging from the universal Wigner laws near 0 kelvin to the occurrence of scattering resonances at higher energies. It has proven challenging to experimentally probe the individual waves underlying these phenomena. We report measurements of state-to-state integral and differential cross sections for inelastic NO-He collisions in the 0.2 to 8.5 centimeter–1 range with 0.02 centimeter–1 resolution. We studied the onset of the resonance regime by probing the lowest-lying resonance dominated by s and p waves only. The highly structured differential cross sections directly reflect the increasing number of contributing waves as the energy is increased. Only with CCSDT(Q) level of theory was it possible to reproduce our measurements.

Formulation of Model Defects Suitable for the Resonance Regime

A method to account for model deficiencies in nuclear data evaluations in the resonance regime is proposed. The method follows the ideas of Schnabel and coworkers and relies on Gaussian processes with a novel problemadapted ansatz for the covariance matrix of model uncertainties extending the formalism to the energy region of resonances. The method was used to evaluate a set of schematic but realistic neutron reaction data generated by an R-matrix code and a well defined model defect. Using the extended ansatz for model defects the Bayesian evaluation successfully recovered the built-in model defect in size and structure thus demonstrating the applicability of the method.