On the spatial behaviour of the transient and steady-state solutions in thin plates with transverse shear deformation

This paper studies the spatial behaviour of the transient and steady-state solutions in the problem of bending of a plane elastic plate. When the transient solutions are discussed a bounded or unbounded plane plate of an arbitrary regular form is considered. Then an appropriate time-weighted line-integral measure is introduced and, for each fixed t∈[0,T], it is shown that it vanishes at distances from the support of the given data on the time interval [0,T] greater than ct, where c is a characteristic material constant. Moreover, for distances to the support lower than ct, it is established a spatial decay estimate of Saint-Venant-type. For the harmonic vibrations the case of an elastic plate whose middle surface is like a (semi-infinite) strip is considered for which the lateral sides are clamped. Then a cross-sectional line-integral measure is associated with the amplitude of the vibration and the spatial estimate is established for describing the spatial behaviour of the amplitude, provided that the frequency of the harmonic vibration is lower than a critical frequency.     

Structural form-finding of bending components in buildings by using parametric tools and principal stress lines

This paper aims to provide an efficient and straightforward structural form-finding method for designers to extrapolate component forms during the conceptual stage. The core idea is to optimize the classical method of structural form-finding based on principal stress lines by using parametric tools. The traditional operating process of this method relies excessively on the designer's engineering experience and lacks precision. Meanwhile, the current optimization work for this method is overly complicated for architects, and limitations in component type and final result exist. Therefore, to facilitate an architect's conceptual work, the optimization metrics of the method in this paper are set as simplicity, practicality, freedom, and rapid feedback. For that reason, this paper optimizes the method from three aspects: modeling strategy for continuum structures, classification processing of data by using the k-nearest neighbor algorithm, and topological form-finding process based on stress lines. Eventually, it allows architects to create structural texture with formal aesthetics and modify it in real time on the basis of structural analysis results. This paper also explores a comprehensive application strategy with internal force analysis diagramming to form-finding. The finite element analysis tool Karamba3D verifies the structural performance of the form-finding method. The performance is compared with that of the conventional form, and the comparison results show the practicality and potential of the strategy in this paper.     

少齿差行星齿轮齿根弯曲应力计算方法研究

少齿差齿轮副在啮合时由于轮齿受载产生变形可能引发多对齿同时接触承载的情况[1],啮合齿对实际承担的载荷将下降。少齿差齿轮副啮合时存在多对齿同时接触承载的现象,且由于内外齿轮齿廓的凹凸曲率非常接近,啮合时齿面接触面积较大,接触力为分布力,在计算齿根弯曲应力时不宜按集中力处理,这些情况使得准确计算少齿差齿轮副的齿根弯曲应力变得复杂。现以大量有限元计算分析为基础,综合考虑多对齿同时接触承载这一情况,建立了适用于少齿差齿轮副齿根弯曲应力的计算方法,并进行了实验验证。     

Rushton桨气液搅拌槽内气泡流对搅拌轴弯矩的影响（英文）

The bending moment acting on the overhung shaft of a gas-sparged vessel stirred by a Rushton turbine, as one of the results of fluid and structure interactions in stirred vessels, was measured using a moment sensor equipped with digital telemetry. An analysis of the shaft bending moment amplitude shows that the amplitude distribution of the bending moment, which indicates the elasticity nature of shaft material against bending deformation, fol-lows the Weibull distribution. The trends of amplitude mean, standard deviation and peak deviation character-istics manifest an“S”shape versus gas flow. The“S”trend of the relative mean bending moment over gas flow rate, depending on the flow regime in gas–liquid stirred vessels, resulted from the competition among the non-uniformity of bubbly flow around the impeller, the formation of gas cavities behind the blades, and the gas direct impact on the impel er when gas is introduced. A further analysis of the bending moment power spectral density shows that the rather low frequency and speed frequency are evident. The low-frequency contribution to bend-ing moment fluctuation peaks in the complete dispersion regime.     

Comparative experimental study of hot-rolled and cold-formed rectangular hollow sections

Square and rectangular hollow sections are generally produced either by hot-rolling or cold-forming. Cross-sections of nominally similar geometries, but from the two different production routes may vary significantly in terms of their general material properties, geometric imperfections, residual stresses, corner geometry and material response and general structural behaviour and load-carrying capacity. In this paper, an experimental programme comprising tensile coupon tests on flat and corner material, measurements of geometric imperfections and residual stresses, stub column tests and simple and continuous beam tests is described. The results of the tests have been combined with other available test data on square and rectangular hollow sections and analysed. Enhancements in yield and ultimate strengths, beyond those quoted in the respective mill certificates, were observed in the corner regions of the cold-formed sections—these are caused by cold-working of the material during production, and predictive models have been proposed. Initial geometric imperfections were generally low in both the hot-rolled and cold-formed sections, with larger imperfections emerging towards the ends of the cold-formed members—these were attributed largely to the release of through thickness residual stresses, which were themselves quantified. The results of the stub column and simple bending tests were used to assess the current slenderness limits given in Eurocode 3, including the possible dependency on production route, whilst the results of the continuous beam tests were evaluated with reference to the assumptions typically made in plastic analysis and design. Current slenderness limits, assessed on the basis of bending tests, appear appropriate, though the Class 3 slenderness limit, assessed on the basis of compression tests, seems optimistic. Of the features investigated, strain hardening characteristics of the material were identified as being primarily responsible for the differences in structural behaviour between hot-rolled and cold-formed sections.     

Improved mechanical properties of reaction-bonded SiC through in-situ formation of Ti3SiC2

Reaction-bonded SiC is a ceramic with excellent thermal properties, good corrosion resistance and the characteristic of near-net-shape manufacturing. However, the poor fracture toughness of free Si limits the applications of reaction-bonded SiC. In this study, TiC was added to reaction-bonded SiC and reacted with free Si to form Ti₃SiC₂. The effects of TiC and carbon black on the mechanical properties of reaction-bonded SiC were investigated. The results demonstrated that the in-situ formation of Ti₃SiC₂ and decrease in the content and size of free Si improved the mechanical properties of reaction-bonded SiC ceramics. The mechanical properties of TiC-added reaction-bonded SiC with 17.5 wt% carbon black were superior to those of TiC-added reaction-bonded SiC with 15 wt% carbon black. Moreover, increasing the TiC content of reaction-bonded SiC with 17.5 wt% carbon black from 0 to 7.5 wt% caused an increase in its bending strength from 183.92 to 424.43 MPa and an increase in fracture toughness from 3.7 to 5.24 MPa m^1/2.     

折弯机制造精度对板材折弯精度影响规律的理论分析

由于板料折弯机结构原理、折弯机自身制造精度、模具制造精度、被加工板材性能以及性能不均匀性等方面的原因,板料加工不可避免存在角度误差、直线度误差与边长误差。板料加工误差的存在影响后续的装配、增加试修模以及成形后校形的工作量,延长了产品的开发周期,制约着渐进折弯成形的进一步推广和应用,尤其是对用高强度高回弹钢板成形大型工件的应用。本文以江苏亚威机床股份有限公司PBH110-3100型数控板料折弯机为研究对象,依据弹性力学理论,建立折弯误差的分析模型,分析机床制造精度对金属板材折弯精度的影响规律。研究结果对提高金属板材的折弯精度与可靠性,提高产品的竞争力与附加值有着重要的现实意义。     

新型传动装置面齿轮啮合过程轮齿强度有限元分析

利用面齿轮计算软件获取面齿轮的齿面点,将齿面点导入到三维造型软件UG中建立面齿轮数学模型;利用ANSYS Workbench与UG之间接口,将装配好的直齿轮与面齿轮的三维模型导入到ANSYS Workbench有限元分析软件中,设置载荷时间步及边界条件,获取面齿轮在啮合传动过程中的齿面接触应力和弯曲应力随时间的变化规律;通过改变压力角和模数,获取压力角和模数与接触应力和弯曲应力的关系,从而为新型面齿轮减速器的设计提供参考。     

用积分变换法计算梁的弯曲变形

将积分变换方法与奇异函数相结合，用于计算各种等截面梁的弯曲弯形，计算过程简单，在工程设计中有一定的实用价值。