COMPUTATION OF SUPER-CONVERGENT NODAL STRESSES OF TIMOSHENKO BEAM ELEMENTS BY EEP METHOD

The newly proposed element energy projection(EEP) method has been applied to the computation of super_convergent nodal stresses of Timoshenko beam elements.General formulas based on element projection theorem were derived and illustrative numerical examples using two typical elements were given.Both the analysis and examples show that EEP method also works very well for the problems with vector function solutions.The EEP method gives super_convergent nodal stresses,which are well comparable to the nodal displacements in terms of both convergence rate and error magnitude.And in addition,it can overcome the “shear locking” difficulty for stresses even when the displacements are badly affected.This research paves the way for application of the EEP method to general one_dimensional systems of ordinary differential equations.

A New Rational-based Optimal Design Strategy of Ship Structure Based on Multi-level Analysis and Super-element Modeling Method

A new multi-level analysis method of introducing the super-element modeling method, derived from the multi-level analysis method first proposed by O. F. Hughes, has been proposed in this paper to solve the problem of high time cost in adopting a rational-based optimal design method for ship structural design. Furthermore,the method was verified by its effective application in optimization of the mid-ship section of a container ship. A full 3-D FEM model of a ship,suffering static and quasi-static loads, was used as the analyzing object for evaluating the structural performance of the mid-ship module, including static strength and buckling performance. Research results reveal that this new method could substantially reduce the computational cost of the rational-based optimization problem without decreasing its accuracy, which increases the feasibility and economic efficiency of using a rational-based optimal design method in ship structural design.

Self-adaptive strategy for one-dimensional finite element method based on EEP method with optimal super-convergence order

Based on the newly-developed element energy projection （EEP） method with optimal super-convergence order for computation of super-convergent results, an improved self-adaptive strategy for one-dimensional finite element method （FEM） is proposed. In the strategy, a posteriori errors are estimated by comparing FEM solutions to EEP super-convergent solutions with optimal order of super-convergence, meshes are refined by using the error-averaging method. Quasi-FEM solutions are used to replace the true FEM solutions in the adaptive process. This strategy has been found to be simple, clear, efficient and reliable. For most problems, only one adaptive step is needed to produce the required FEM solutions which pointwise satisfy the user specified error tolerances in the max-norm. Taking the elliptical ordinary differential equation of the second order as the model problem, this paper describes the fundamental idea, implementation strategy and computational algorithm and representative numerical examples are given to show the effectiveness and reliability of the proposed approach.

Buckling analysis of super-long rock-socketed filling piles in soft soil area by element free Galerkin method

In order to discuss the buckling stability of super-long rock-socketed filling piles widely used in bridge engineering in soft soil area such as Dongting Lake, the second stability type was adopted instead of traditional first type, and a newly invented numerical analysis method, i.e. the element-free Galerkin method (EFGM), was introduced to consider the non-concordant deformation and nonlinearity of the pile-soil interface. Then, based on the nonlinear elastic-ideal plastic pile-soil interface model, a nonlinear iterative algorithm was given to analyze the pile-soil interaction, and a program for buckling analysis of piles by the EFGM (PBAP-EFGM) and arc length method was worked out as well. The application results in an engineering example show that, the shape of pile top load-settlement curve obtained by the program agrees well with the measured one, of which the difference may be caused mainly by those uncertain factors such as possible initial defects of pile shaft and the eccentric loading during the test process. However, the calculated critical load is very close with the measured ultimate load of the test pile, and the corresponding relative error is only 5.6%, far better than the calculated values by linear and nonlinear incremental buckling analysis (with a greater relative error of 37.0% and 15.4% respectively), which also verifies the rationality and feasibility of the present method.

Self-adaptive one-dimensional nonlinear finite element method based on element energy projection method

The element energy projection （EEP） method for computation of super- convergent resulting in a one-dimensional finite element method （FEM） is successfully used to self-adaptive FEM analysis of various linear problems, based on which this paper presents a substantial extension of the whole set of technology to nonlinear problems. The main idea behind the technology transfer from linear analysis to nonlinear analysis is to use Newton＇s method to linearize nonlinear problems into a series of linear problems so that the EEP formulation and the corresponding adaptive strategy can be directly used without the need for specific super-convergence formulation for nonlinear FEM. As a re- sult, a unified and general self-adaptive algorithm for nonlinear FEM analysis is formed. The proposed algorithm is found to be able to produce satisfactory finite element results with accuracy satisfying the user-preset error tolerances by maximum norm anywhere on the mesh. Taking the nonlinear ordinary differential equation （ODE） of second-order as the model problem, this paper describes the related fundamental idea, the imple- mentation strategy, and the computational algorithm. Representative numerical exam- ples are given to show the efficiency, stability, versatility, and reliability of the proposed approach.

SELF-ADAPTIVE STRATEGY FOR ONE-DIMENSIONAL FINITE ELEMENT METHOD BASED ON ELEMENT ENERGY PROJECTION METHOD

Based on the newly-developed element energy projection （EEP） method for computation of super-convergent results in one-dimensional finite element method （FEM）, the task of self-adaptive FEM analysis was converted into the task of adaptive piecewise polynomial interpolation. As a result, a satisfactory FEM mesh can be obtained, and further FEM analysis on this mesh would immediately produce an FEM solution which usually satisfies the user specified error tolerance. Even though the error tolerance was not completely satisfied, one or two steps of further local refinements would be sufficient. This strategy was found to be very simple, rapid, cheap and efficient. Taking the elliptical ordinary differential equation of second order as the model problem, the fundamental idea, implementation strategy and detailed algorithm are described. Representative numerical examples are given to show the effectiveness and reliability of the proposed approach.

井筒对特大跨越输电塔风致响应的影响

采用数值模拟方法研究井筒对特大跨越输电塔风致响应的影响,提出钢管混凝土杆采用钢管杆等代的等效建模方法,采用时域法和频域法研究有无井筒输电塔在顺线路和横线路方向的风致响应,最后将风振系数结果与规范规定值进行比较。研究表明:利用截面刚度等效原则进行钢管混凝土杆等效为钢管杆的方法是可行的;考虑井筒后输电塔的前两阶自振频率降低明显,输电塔的位移和加速度均增大;时域法和频域法的计算结果接近;有井筒输电塔的整体风振系数比无井筒输电塔大11%~15%;风振系数计算结果与《架空输电线路荷载规范》(DL/T 5551—2018)的规定值比较接近。

弹性力学有限元分析中的平衡与协调理论

有限元分析中的单元可以遵循不同的方法构造,该文提出以单元模型的平衡性与协调性进行分类,并对弹性力学平面问题中的几种经典单元进行了分析比较,总结了协调元、非协调元和超协调元的协调性方法,以及基于解析试函数法的平衡型方法。单元的协调性理论思路包含单纯形格式协调元和非单纯形格式协调元,以及相应的非协调和超协调元格式,关注的重点是单元边界的协调。单元的平衡性理论思路包含解析试函数和权函数的高阶完备性,关注的重点研究是单元内部及边界平衡性。研究表明:针对弹性力学中平衡性和协调性要求,两类理论给出的不同单元格式各具特点,而既能保证单元内部平衡性,又能考虑单元界面协调性的单元类型给出了更精确、合理的计算结果。

以频率误差控制为目标的自由振动问题自适应有限元分析

对于自由振动问题,基于单元能量投影(element energy projection, EEP)技术,对频率和模态同时进行误差控制的自适应有限元分析已建立,并被证明可靠且高效。在实际应用中,也存在另一类需求,即只需保证频率的精度,而并不关心模态误差大小。该研究提出了频率超收敛计算方案,继而建立了整体频率误差和局部模态误差的转换关系,从而在整体上以频率误差估计控制算法停机,在局部上以模态误差估计驱动网格更新,最终建立了以频率误差控制为目标的自由振动问题自适应有限元分析策略。该方法的有效性在二阶Sturm-Liouville问题及弹性薄膜自由振动问题上得到了应用验证。

分体组合振动式超级稻精量播种匀种装置设计与试验

针对超级稻育秧播种环节振动式排种器匀种性能差,难以实现精量播种的问题,设计一种分体组合振动式精量播种匀种装置,并提出了一种基于图像识别的振动匀种控制方法。对振动板关键结构参数:储种盒深度和转向槽角度进行匀种性能单因素离散元仿真分析,结果表明:输送阶段不同时间和空间匀种均匀性变异系数和振动板出口处供种均匀性变异系数随储种盒深度增大而增大,随转向槽角度增大先减小后增大,并确定储种盒深度和转向槽角度分别为12 mm和48°。设计并搭建了种子流图像检测与控制系统,压电振动单体和匀种单元图像检测和整流验证试验表明,当检测到图像中白色低像素占比低于20%,经整流后,白色像素占比可满足设计要求。对分体组合振动式播种匀种装置进行不同匀种电压和具有不同长宽比的3种超级稻品种进行播种性能试验。试验结果表明,当工作电压为150~200 V时,其播种合格率不小于93.47%,漏播率不大于1.00%;3种水稻种子播种合格率均不小于94.17%,漏播率不大于0.67%。该装置能够满足超级稻精量播种要求,且对不同超级稻种子具有较好的适应性。

三维弹性波全波形反演在小保当煤矿勘探中的应用研究

高效、安全和智能化的煤矿开采对煤层顶底板以及地下三维地质模型的精度要求越来越高,传统地球物理探测方法在成像分辨率和精度方面已无法满足实际需求。将三维弹性波全波形反演技术应用于陕西小保当一号煤矿112204工作面的地下三维地质模型构建,通过谱元法和GPU超算实现地震波高效和高精度正演模拟,发展了多尺度、多目标函数和多波的反演方法与技术,并使用测井先验信息进行正则化约束,降低反演的非线性和多解性,最终构建了112204采煤工作面三维弹性速度结构模型,对煤层的顶底板进行了高精度成像,精细刻画了煤层的三维空间展布,反演结果与测井结果吻合较好,实现了采煤工作面的透明化。

超长大体积混凝土结构跳仓法技术施工与应用

解决超长混凝土结构抗裂问题的主要方法是设置温度及沉降后浇带,但后浇带留设导致施工缝清理凿毛困难,钢筋锈蚀,影响后道工序的开展,且后浇带处于悬臂状态,荷载增加会给结构质量造成风险。以某高铁站站房及配套综合交通枢纽工程中承轨层(标高258 m)为例,应用Midas三维有限元模型数值模拟方法,对跳仓法的抗放结合技术原理进行分析,探讨采用跳仓法取代后浇带的可行性。

含超单元连接子结构的自由界面模态综合法

根据模态综合法中连接子结构的定义,认为连接子结构实际上是一种将全部界面坐标作为主自由度的超单元.在此基础上,分别利用静力变换和动力变换将连接子结构变换成超单元,推导了界面位移和界面力双协调条件下的自由界面模态综合法(超单元间接法).该法保留了自由界面法的可大大缩减系统自由度、精度高的优点,并且由于引入了超单元连接子结构,可合理近似集中阻尼,在局部非线性结构动力分析问题中亦具有广泛应用前景.最后,将超单元间接法应用于自动化码头桁架桥结构的固有频率和地震反应计算,将铅芯橡胶支座视为超单元连接子结构,分析了静力变换和动力变换超单元间接法的计算精度和效率,并得到了在铅芯橡胶支座不同配置形式下桁架桥的固有特性.

多重多级子结构方法与模态综合法的对比研究

利用高精度多重多级子结构方法与传统的动力子结构模态综合法(MSC.Nastran超单元法)进行对比研究.该算法采用Lanczos方法与子结构周游树技术,考虑了各子结构内部自由度对整体求解的贡献,算法精度得到显著提高,并与不作凝聚的单一整体结构分析具有相同的计算精度.数值结果表明多重多级子结构方法相比于模态综合法在子结构划分及多层次调用上更为灵活,计算结果不受复杂子结构划分方式的限制和出口点选取的影响,在高阶频率的计算方面精度更好.

结构动特性分析的超单元法

提出一种超单元法,将一个细化的静力学有限元模型转化为反映整体性能的动力学有限元模型。这里定义的超单元具有子结构和协调有限元双重特性。生成了刚性超结点和弹性超结点,以及3刚性超结点和4刚性超结点超单元,从而为构造超单元模型奠定了基础,实现了建模的一致性。算例表明本文提出的超单元法是对动力学有限元模型的精确描述,算法的计算效率高,工程适用性好。

高层建筑结构考虑楼板变形计算的超元法

提出高层建筑结构考虑楼板变形计算的超级单元法,即将每片抗侧力结构视为一根等效柱,楼板视为深梁,整个结构可按固定在地面上的十字交叉梁系,用矩阵位移法进行空间整体分析,自由度很少,计算简便.

基于超单元方法的铣削加工变形快速仿真计算

介绍了铣削过程的力学建模 ,提出了基于有限单元法中的超单元计算技术快速预测工件铣削加工变形的新方法。结合两个典型零件实例 ,分别对两种铣削方式 (端铣、周铣 )进行数值计算分析 ,算例结果表明了应用超单元技术可以大大提高加工变形的仿真计算效率 ,具有重要的应用价值。

框支剪力墙结构考虑楼板变形计算的超元法

框支剪力墙结构考虑楼板变形计算的超元法 ,即将落地墙及框支墙的上部剪力墙简化为等效柱 ,底部框架简化为等代柱 ,楼板视为深梁 ,整个结构可按固定在地面上的十字交叉梁系 ,用矩阵位移法进行空间整体分析 ,自由度很少 ,计算简便。

弹性地基上十字交叉梁考虑上部结构影响分析的超元法

本文提出弹性地基上十字交叉梁考虑上部结构影响分析的超元法 ,即将房屋上部每榀框架各层梁与基础梁在X方向和Y方向均简化处理成一根等效梁 ,整个结构视为弹性地基上十字交叉梁系 ,导出等效梁的超级单元刚度矩阵 ,然后用有限元法分析。本方法计算简便 ,适应性强 ,且具有较高的精度。

Timoshenko梁单元超收敛结点应力的EEP法计算

将新近提出的单元能量投影(ElementEnergyProjection,简称EEP)法应用于Timoshenko梁单元的超收敛结点应力计算· 根据单元投影定理具体推导了一般单元的计算公式,并对两个有代表性的单元给出了数值算例· 分析和算例表明,EEP法对于解答是向量函数(即常微分方程组)的问题具有同样优良的表现,不仅能给出与结点位移精度同阶、同量级的超收敛结点应力。