轮盘振动特性计算

本文提出了一种计算轮盘振动特性的数值解法。采用薄板和厚板两种理论,将问题化成一阶微分方程组进行数值计算。编制了计算机程序,得出了令人满意的结果。由于没有涉及到复杂的数学问题,计算机程序大为简化,计算时间少。      

空心风扇叶片高循环疲劳异常失效分析

针对某空心风扇叶片试验件在高循环疲劳试验中出现的异常失效现象,完成了振动仿真分析和断口分析。仿真分析结果表明失效区域非应力集中部位,断口分析结果表明裂纹萌生于薄板与叶盆侧厚板交接部位,其失效模式为疲劳失效,失效机理为超塑成形环节局部区域薄板扭曲导致高循环疲劳试验中薄板与厚板发生摩擦,进而疲劳失效。基于以上分析,制定了优化超塑成形工艺参数并增加CT检测环节的改进措施。验证试验表明,改进措施有效,很好地解决了该异常失效问题。     

发电机爪极与风扇点焊的探索

论述了电视风扇与爪极焊接，探讨了1 mm低碳钢板与20mm以上低碳钢（铸造钢）板点焊的机理．提出了薄板与厚板点焊时，电场与温度场只决定于薄板上使用的电极工作型面．指出了物体的热情性对焊接的影响。     

厚板拉深成形冲模间隙和凹模圆角半径的确定方法

由于厚板冲压毛坯具有比铸造、锻造等毛坯重量轻,强度比高,耐疲劳性好,加工方便,生产周期短,省材,成本低,并且能加工出用其他方法无法加工的复杂形状零件等优点,因此,在国外很多发动机制造公司非常重视这一技术,凡发动机机匣的内外安装边,需要通过切削加工的薄壁筒形件,锥简形件和曲面形筒件等,几乎都采用厚板冲压毛坯来加工。厚板冲压成形与薄板冲压成形有许多不同点。合理选择拉深成形的冲模间隙和凹模圆角半径,对于厚板的拉深成形能否顺利进行具有决定性的意义。下面是有关厚板拉深成形时冲模间隙和凹模圆角半径的确定方法:     

圆板混合边值问题的一种数值方法

 利用弹性薄板的广义变分原理和双调和方程的特解序列,提出了一种求解圆板混合边值问题的数值方法。最后通过两个实例计算说明该方法的收敛性和可靠性。     

薄板弯曲问题的Trefftz方法

 本文从弹性力学广义变分原理出发,提出了一种求解薄板弯曲问题的Trefftz方法。为了让近似函数满足平衡微分方程,利用复变函数理论研究了试函数空间的构造问题。最后对矩形板给出了3个算例,计算结果表明该方法具有较好的收敛性和稳定性。     

基于虚拟激励法的薄板随机振动分析

针对航空发动机薄壁构件在实际工作中受到的噪声影响的问题,基于虚拟激励法原理,利用改进的傅里叶级数法处理位移函数和白噪声激励,对薄板进行了任意弹性边界条件下的随机振动响应分析。推导并计算了白噪声激励下薄板的位移响应功率谱,将响应功率谱与ANSYS自带谱分析模块结果进行对比分析,证明了改进方法的准确性。该方法使用簧代替经典边界条件,改变弹簧的刚度系数组合可以高效准确地处理其他更复杂的结构以及边界条件。     

复合材料层压厚板接头失效分析研究

随着复合材料在航空工程中的广泛应用,需要对复合材料结构的强度问题进行探究,而国内对复合材料层压厚板接头的失效模拟与分析方法研究较少。为此,以复合材料厚板接头为研究对象,基于三维渐进失效分析方法,选取合理的本构关系、失效准则、材料退化模式,并利用Fortran语言编写Umat子程序完成渐进失效方法的应用实现。通过对比复合材料层压厚板接头静强度试验和计算结果,表明本文所采用的三维渐进失效分析方法计算得到的应变-载荷数据与试验结果基本相符,即本文方法能够较好地模拟层压厚板接头的拉伸破坏过程,且可实现变参迭代计算,可为复合材料厚板接头结构的优化设计提供参考。     

悬臂边界下纤维增强复合薄板固有频率计算及验证

采用理论与实际相结合的方式,对悬臂状态下纤维增强复合薄板的固有频率进行了计算及验证.首先,针对纤维增强复合薄板的结构特点,考虑了纤维方向的影响,对其进行了理论建模.然后,基于正交多项式法来表示振型函数,并通过Ritz法对该类型复合薄板的固有频率进行求解.最后,搭建了该类型复合薄板结构的固有特性测试系统,并以TC500碳纤维/树脂基复合薄板为例,对其固有频率进行了测试.验证结果表明:基于正交多项式法的纤维增强复合薄板固有频率计算结果与实验结果的相对误差在2.2%~9.7%之间,进而验证了所提出的固有频率计算方法的正确性.      

叶片-轮盘组件的动力特性研究

本文采用扇形厚板元和波传动法,计算了叶盘组合模型件的振动特性,讨论了组合体与单独叶片及轮盘振动特性的差异,分析了叶盘几何参数变化所产生的影响。文中还对某实际叶盘组件进行了有限元分析,并用实验方法作了检验,结果表明两者是吻合的。 用有限元法计算叶盘组合体振动,有两种较好方法:一种是Kirkhope和Wilson提出,后经Mota Soares等人发展成半解析的环形元法(即有限条法);另一种是后者提出的采用扇形厚板元的波传动法。这两种方法都具有取单元和节点数少、计算精度高等优点,较便于工程应用。然而,这些方法对实际叶盘组件进行计算的经验尚不多,国内外还没有精度高的范例。本文作者经过大量的计算考核,认为对实际叶盘组件的计算拟采用扇形厚板元与厚壳元的组合方案。     

复合材料叠层板壳有限元的渐近解

 本文针对复合材料叠层板壳结构建立了一个分层计算的有限元模型,此模型的特点是以参考面的位移和各层横向剪应变作为独立的自变量,导出了叠层板壳的有限元模式,这是和原有分层模型的本质区别,从而具有以下优点:(1)刚度矩阵具有良好特性,可采用渐近法求解,大大提高了计算效率,克服了分层模型中的最大困难;(2)完全避免了较薄的板壳在有限元计算中常发生的“剪切自锁”现象;(3)较精确地考虑了各层的剪切效应,无须再引入剪切修正系数。还采用此模型较好地解决了任意铺层的叠层板弯曲、叠层板脱层屈曲和承受任意载荷的轴对称叠层壳的弯曲等问题,证明了此模型的优点和可靠性。此模型还极易推广应用于叠层板壳的动力、稳定和层间应力等问题。     

复合材料层合板弯曲振动高阶理论及有限元模型

本文提出了一种新的复合材料层合板高阶弯曲位移模式,此位移模式既考虑横向剪切的影响,又考虑了法向正应力的分布,进而建立的相当于三维弹性理论解的二维有限元模型,具有精度高、计算量并不大的优点。     

一种含分层复合材料层合板高阶理论及有限元模型

本文提出了一种新的复合材料县合板高阶弯曲位移模式。此模式考虑了横向剪切的影响,得到一种新的厚板有限元模型。对于含有分层的单元,通过改变其单元内横向剪切应力的分布,达到改变单元刚度的目的。因此,此模型适用于任何厚度的或含有分层的复合材料层合板。     

A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates

A refined trigonometric shear deformation theory (RTSDT) taking into account transverse shear deformation effects is presented for the thermoelastic bending analysis of functionally graded sandwich plates. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, does not require shear correction factor, the displacement components are expressed by trigonometric series representation through the plate thickness to develop a two-dimensional theory and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. The sandwich with homogeneous facesheet and FGM core is considered. Material properties of the present FGM core are assumed to vary according to a power law distribution in terms of the volume fractions of the constituents. The influences played by the transverse shear deformation, thermal load, plate aspect ratio, and volume fraction distribution are studied. Numerical results for deflections and stresses of functionally graded metal–ceramic plates are investigated. It can be concluded that the proposed theory is accurate and simple in solving the thermoelastic bending behavior of functionally graded plates.     

Static Analysis of Functionally Graded Sandwich Plates Using an Efficient and Simple Refined Theory

In this paper, a new displacement based high-order shear deformation theory is introduced for the static response of function-ally graded sandwich plate. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, has strong similarity with classical plate theory in many aspects, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. Two common types of functionally graded sandwich plates, namely, the sandwich with functionally graded facesheet and homogeneous core and the sandwich with homogeneous facesheet and functionally graded core, are considered. Governing equations are derived from the principle of virtual displacements. The closed-form solution of a simply supported rectangular plate subjected to sinu-soidal loading has been obtained by using the Navier method. The validity of the present theory is investigated by comparing some of the present results with those of the classical, the first-order and the other higher-order theories. It can be concluded that the proposed theory is accurate and simple in solving the static bending behavior of functionally graded sandwich plates.     

计及横向剪切效应的环形谐振子理论研究CSCD

经典环形谐振子理论是一种基于忽略横向剪切变形假设建立的环理论,因而无法准确求解高径比较大的环问题。为了克服上述不足,基于Timoshenko理论和哈密顿原理,建立考虑横向剪切效应的环形谐振子新理论,包括广义本构关系、平衡方程和周期性条件等。利用经典的布勃诺夫-伽辽金法,并结合有限元法,获得谐振子在缓慢、匀速转动过程中二阶弯曲角频率和进动系数的理论解。研究表明,横向剪切变形会在一定程度上影响环形结构二阶弯曲角频率和进动系数的计算结果;环形谐振子的进动系数不是恒定的,它会随着高径比h/r的增大而缓慢地减小。     

关于厚薄板弯曲分析的内位移杂交元法

 本文通过引入单元内位移和优化处理的单元应力场,以计入剪切变形的板弯曲能量泛函为基础,导出适用于厚、薄板分析的四边形杂交应力元。内力场和内位移的合理选择避免了单元零能模式的出现、避免了解的剪切自锁现象。该优化单元显示了较好的通用性和收敛性。对关于剪切自锁的RCI判据提出了反例、说明了它的局限性。     

超声导波在大型薄铝板缺陷检测中的应用

 为了提高大型薄板超声检测的速度,研究了超声导波及其在大型薄铝板缺陷检测中的应用。推导了超声导波在大型薄铝板中传播的理论模型,分析了导波的波结构,设计并实践了导波检测薄铝板缺陷的方法。试验结果表明,若选取S0导波模式对1 mm薄铝板进行线扫描检测,在有缺陷的地方会出现明显的回波信号。根据缺陷回波与板端回波的传播时间差,可计算出缺陷的位置。缺陷越大,缺陷回波信号幅值越大。选择对缺陷灵敏度高的导波模式,导波法线扫描检测方式可以有效缩短检测时间,提高检测效率。     

复合材料层合板壳通用单元和等网格加筋板壳的局部稳定性

 本文根据多变量拟协调罚函数法构造了15自由度三角形复合材料层合板壳厚薄通用单元。文中以各向同性和等网格加筋板壳的局部稳定性为算例,证明了该单元的有效性,并讨论了结构跨厚比α/h,弹性模量比E_1/E_2、铺设角,铺层数以及边界支承条件与剪切效应和耦合效应间的关系。     

Plastic wrinkling model and characteristics of shear enforced Ti-alloy thin-walled tubes under combination die constraints and differential temperature fields

Plastic wrinkling predictions and shear enforced wrinkling characteristics of Ti-alloy thin-walled tubes under combination die constraints have become key problems urgently in need of solutions in order to improve forming quality in their shear bending processes under differential temperature fields. To address this, a wrinkling wave function was developed by considering their shear bend deformation characteristics. Based on this wave function and the thin shell theory, an energy prediction model for this type of wrinkling was established. This model enables considera-tion of the effects of shear deformation zone ranges, material parameters, loading modes, and fric-tion coefficients between tube and dies on the minimum wrinkling energy. Tube wrinkling sensitive zones (WSZs) can be revealed by combining this wrinkling prediction model with a thermal-mechanical coupled finite element model for simulating these bending processes. The reliability of this wrinkling prediction model was verified, and an investigation into the tube wrinkling char-acteristics was carried out based on the experimental conditions. This found that the WSZs are located on either a single side or both sides of the maximum shear stress zone. When the friction coefficients between the tube and the various dies coincide, the WSZs are located on both sides. The larger the value of the tube inner corner radius and/or the smaller the value of the outer corner radius, the smaller the wrinkling probability. With an increase in the value of the moving die dis-placement, the wrinkling probability increases at first, and then decreases.