Mixed formulation of nonlinear beam on foundation elements

This paper presents an inelastic element for the analysis of beams on foundations. The element is derived from a two-field mixed formulation with independent approximation of forces and displacements. The state determination algorithm for the implementation of the element in a general purpose nonlinear finite element analysis program is presented and its stability characteristics are discussed. Numerical studies are performed to compare the model with the classical displacement formulation. The studies confirm the superiority of the proposed model in describing the inelastic behavior of beams on foundations.     

Gateside packwall design in solid backfill mining-A case study

Based upon characteristic movement features of the overlying strata in solid backfill mining and in-situ observations,an associated model representing a roadway support system has been developed.Based on the Winkler foundation and beam model,the current study presents a static analysis of the model,thus permitting acquisition of a theoretical formula pertaining to roof convergence.Through use of working face 6304-1(Jisan Colliery) as the research setting,the association between roof convergence magnitude and both packwall strength and width have been elucidated.Based upon observed conditions at the working face,realistic packwall parameters have been formulated,with numerical simulation results and field application results indicating that design parameters garnered from the developed formula successfully adapted to local geological movement and deformation.Accordingly,roadway deformation was shown to be within the permissible range,thus satisfying mine production requirements.The proposed method in the current study may give a design basis for pack design in the context of SBM under similar conditions.     

Winkler地基上加肋板的弹性分析

把加肋板分成板和肋梁两个部分,板作为Ｗｉｎｋｌｅｒ地基上的板,用边界元方法分析,肋梁作为连续梁,用有限元方法分析,利用肋梁结点处力的平衡和位移的协调关系进行耦全水解。     

考虑锚杆切向拉力作用的格构梁内力计算与数值模拟

为了研究喷锚支护体系中格构梁的计算理论及适用性,使用考虑开挖工况影响的ANSYS有限元模拟方法以及考虑锚杆轴力切向分量的Winkler方法,分析纵向格构梁内力,将两种方法分析结果进行比较研究,并与实测值对比,得出格构梁内力计算方法的适用性.在松软的地基上,最好采用Winkler法计算;在岩性地基上梁与地基的摩擦作用不可忽略,用考虑水平作用和轴向分力的Winkler法计算得到的结果最符合实际.ANSYS模拟的结果也可以比较真实地反映梁的受力情况,模拟梁的空间效果,具有较高的实用价值.     

刚性路面的材料性能反演

利用反分析的结果来评价路面结构的性能是近年来发展较快的一种无损检测方法.将刚性路面简化为Winkler地基上的多块板系统,利用落锤式弯沉仪所测得的弯沉结果,并结合奇异值分解的基本理论,成功地解决了刚性路面的反分析问题.大量的数值计算结果表明,该反算方法具有较好的稳定性和收敛性,从而为进一步研究刚性路面的承载能力提供了基础.     

Mechanical buckling of two-dimensional functionally graded cylindrical shells surrounded by Winkler–Pasternak elastic foundation

In this research, buckling analysis of a two-dimensional, functionally graded, cylindrical shell that has been embedded in an outer elastic medium in the presence of combined axial and transverse loading based on third-order shear deformation shell theory is numerically investigated. Variations of the shell properties are considered to be continuous through length and thickness. Winkler–Pasternak foundation and simply supported boundary conditions have been applied. The problem has been solved using the generalized differential quadrature method. Geometrical, load, and foundation parameters beside functionally graded power indexes effects on the critical buckling load have been studied.     

Topological alternatives and structural modeling of infinite grillages on elastic foundations

Several infinite spatially periodic grillages on elastic supports, subjected to lateral static loading, are studied. The topologies of the repeating patterns of the grillages that are considered herein are the only possibilities for dividing a plane into regular polygons. These are grillages composed of triangular, square, or hexagonal cells. A general scheme for the analysis of arbitrary periodic infinite grillages on elastic supports is presented. The compliance and robustness, which is understood as the response of a system when one of its elements is absent, are calculated analytically for the case of discrete elastic spring supports and of a Winkler elastic foundation. A parametric study is carried out in order to compare the three topologies. The results are discussed and concluding remarks are presented.     

温克勒地基上结合式双层板中性面分析

温克勒地基上结合式双层板问题分析的关键在于中性面的求解,但目前对于两层板泊松比不同时的情况仍没有理想的理论公式和求解方法。根据薄板假设,推导了该问题的中性面方程,并提出一种数值法来求解此方程,得到了中性面曲线;最后分析了地基反应模量、两层板泊松比比值、模量比和厚度比对中性面位置的影响,发现地基反应模量、泊松比仅在荷载附近的影响较为明显,模量比对中性面影响较大,中性面明显向模量较大的板方向偏移,而厚度比对中性面影响不大。     

Winkler地基上变厚度圆（环）板的非对称自由振动

本文提出了Winkler地基上变厚度圆(环)板非对称自由振动的传递矩阵法.应用贝塞尔函数理论,求得等厚度圆板和环板单元非对称自由振动传递矩阵的正确公式.然后将Winkler地基上的变厚度圆(环)板划分成一系列的等厚度的圆板和环板单元,应用传递矩阵原理得到变厚度圆(环)板的整体传递矩阵公式.最后给出了一些数值结果,表明板厚和地基模量变化对固有频率的影响.     

Finite strip method for the free vibration and buckling analysis of plates with abrupt changes in thickness and complex support conditions

The free vibration problem of a stepped plate supported on non-homogeneous Winkler elastic foundation with elastically mounted masses is formulated based on Hamilton's principle. The stepped plate is modelled by finite strip method. To overcome the problem of excessive continuity of common beam vibration functions at the location of abrupt change of plate thickness, a set of C¹ continuous functions have been chosen as the longitudinal interpolation functions in the finite strip analysis. The C¹ continuous functions are obtained by augmenting the relevant beam vibration modes with piecewise cubic polynomials. As these displacement functions are built up from beam vibration modes with appropriate corrections, they possess both the advantages of fast convergence of harmonic functions as well as the appropriate order of continuity. The method is further extended to the buckling analysis of rectangular stepped plates. Numerical results also show that the method is versatile, efficient and accurate.