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Static and free vibration analyses of functionally graded porous variable-thickness plates using an edge-based smoothed finite element method 被引量:3
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作者 Trung Thanh Tran Quoc-Hoa Pham Trung Nguyen-Thoi 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第3期971-986,共16页
The main purpose of this paper is to present numerical results of static bending and free vibration of functionally graded porous(FGP) variable-thickness plates by using an edge-based smoothed finite element method(ES... The main purpose of this paper is to present numerical results of static bending and free vibration of functionally graded porous(FGP) variable-thickness plates by using an edge-based smoothed finite element method(ES-FEM) associate with the mixed interpolation of tensorial components technique for the three-node triangular element(MITC3), so-called ES-MITC3. This ES-MITC3 element is performed to eliminate the shear locking problem and to enhance the accuracy of the existing MITC3 element. In the ES-MITC3 element, the stiffness matrices are obtained by using the strain smoothing technique over the smoothing domains formed by two adjacent MITC3 triangular elements sharing an edge. Materials of the plate are FGP with a power-law index(k) and maximum porosity distributions(U) in the forms of cosine functions. The influences of some geometric parameters, material properties on static bending, and natural frequency of the FGP variable-thickness plates are examined in detail. 展开更多
关键词 Functionally graded porous(FGP)plates Edge-based smoothed finite element method(ES-FEM) Mixed interpolation of tensorial components(MITC) Static bending Free vibration
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COARSE-MESH-ACCURACY IMPROVEMENT OF BILINEAR Q_4-PLANE ELEMENT BY THE COMBINED HYBRID FINITE ELEMENT METHOD 被引量:1
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作者 谢小平 周天孝 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第12期1456-1465,共10页
The combined hybrid finite element method is of an intrinsic mechanism of enhancing coarse-mesh-accuracy of lower order displacement schemes. It was confirmed that the combined hybrid scheme without energy error leads... The combined hybrid finite element method is of an intrinsic mechanism of enhancing coarse-mesh-accuracy of lower order displacement schemes. It was confirmed that the combined hybrid scheme without energy error leads to enhancement of accuracy at coarse meshes, and that the combination parameter plays an important role in the enhancement. As an improvement of conforming bilinear Q(4)-plane element, the combined hybrid method adopted the most convenient quadrilateral displacements-stress mode, i.e.,the mode of compatible isoparametric bilinear displacements and pure constant stresses. By adjusting the combined parameter, the optimized version of the combined hybrid element was obtained and numerical tests indicated that this parameter-adjusted version behaves much better than Q(4)-element and is of high accuracy at coarse meshes. Due to elimination of stress parameters at the elemental level, this combined hybrid version is of the same computational cost as that of Q(4)-element. 展开更多
关键词 finite element hybrid method zero energy-error coarse-mesh-accuracy
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MIXED HYBRID PENALTY FINITE ELEMENT METHOD AND ITS APPLICATION
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作者 梁国平 傅子智 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1984年第3期1345-1357,共13页
The penalty and hybrid methods are being much used in dealing with the general incompatible element, With the penalty method convergence can always be assured, but comparatively speaking its accuracy is lower, and the... The penalty and hybrid methods are being much used in dealing with the general incompatible element, With the penalty method convergence can always be assured, but comparatively speaking its accuracy is lower, and the condition number and sparsity are not so good. With the hybrid method, convergence can be assured only when the rank condition is satisfied. So the construction of the element is extremely limited. This paper presents the mixed hybrid penalty element method, which combines the two methods together. And it is proved theoretically that this new method is convergent, and it has the same accuracy, condition number and sparsity as the compatible element. That is to say, they are optimal to each other.Finally, a new triangle element for plate bending with nine freedom degrees is constructed with this method (three degreesof freedom are given on each corner -- one displacement and tworotations), the calculating formula of the element stiffness matrix is almost the same as that of the old triangle element for plate bending with nine degrees of freedom But it is converged to true solution with arbitrary irregrlar triangle subdivision. If the true solution u?H3 with this method the linear and quadratic rates of convergence are obtianed for three bending moments and for the displacement and two rotations respectively. 展开更多
关键词 MIXED hybrid PENALTY finite element method AND ITS APPLICATION 工工 SO
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THE STRESS SUBSPACE OF HYBRID STRESS ELEMENT AND THE DIAGONALIZATION METHOD FOR FLEXIBILITY MATRIX H 被引量:2
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作者 张灿辉 冯伟 黄黔 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第11期1263-1273,共11页
The following is proved: 1) The linear independence of assumed stress modes is the necessary and sufficient condition for the nonsingular flexibility matrix; 2) The equivalent assumed stress modes lead to the identica... The following is proved: 1) The linear independence of assumed stress modes is the necessary and sufficient condition for the nonsingular flexibility matrix; 2) The equivalent assumed stress modes lead to the identical hybrid element. The Hilbert stress subspace of the assumed stress modes is established. So, it is easy to derive the equivalent orthogonal normal stress modes by Schmidt's method. Because of the resulting diagonal flexibility matrix, the identical hybrid element is free from the complex matrix inversion so that the hybrid efficiency, is improved greatly. The numerical examples show that the method is effective. 展开更多
关键词 hybrid stress finite element Hilbert stress subspace diagonalization method for flexibility matrix
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Swelling-induced finite bending of functionally graded pH-responsive hydrogels:a semi-analytical method 被引量:1
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作者 M.SHOJAEIFARD M.R.BAYAT M.BAGHANI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2019年第5期679-694,共16页
Recently, pH-sensitive hydrogels have been utilized in the diverse applications including sensors, switches, and actuators. In order to have continuous stress and deformation ?elds, a new semi-analytical approach is d... Recently, pH-sensitive hydrogels have been utilized in the diverse applications including sensors, switches, and actuators. In order to have continuous stress and deformation ?elds, a new semi-analytical approach is developed to predict the swelling induced?nite bending for a functionally graded(FG) layer composed of a pH-sensitive hydrogel,in which the cross-link density is continuously distributed along the thickness direction under the plane strain condition. Without considering the intermediary virtual reference,the initial state is mapped into the deformed con?guration in a circular shape by utilizing a total deformation gradient tensor stemming from the inhomogeneous swelling of an FG layer in response to the variation of the pH value of the solvent. To enlighten the capability of the presented analytical method, the ?nite element method(FEM) is used to verify the accuracy of the analytical results in some case studies. The perfect agreement con-?rms the accuracy of the presented method. Due to the applicability of FG pH-sensitive hydrogels, some design factors such as the semi-angle, the bending curvature, the aspect ratio, and the distributions of deformation and stress ?elds are studied. Furthermore, the tangential free-stress axes are illustrated in deformed con?guration. 展开更多
关键词 pH-sensitive hydrogel functionally graded(FG)layer finite bending semianalytical solution finite element method(FEM)
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MIXED COMPATIBLE ELEMENT AND MIXED HYBRID INCOMPATIBLE ELEMENT VARIATIONAL METHODS IN DYNAMICS OF VISCOUS BAROTROPIC FLUIDS
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作者 沈孝明 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第6期561-569,共9页
This paper presents and proves the mixed compatible finite element variationalprinciples in dynamics of viscous barotropic fluids. When the principles are proved, itis found that the compatibility conditions of stress... This paper presents and proves the mixed compatible finite element variationalprinciples in dynamics of viscous barotropic fluids. When the principles are proved, itis found that the compatibility conditions of stress can be naturally satisfied. The gene-rallzed variational principles with mixed hybrid incompatible finite elements are alsopresented and proved, and they can reduce the computation of incompatible elements indynamics of viscous barotropic flows. 展开更多
关键词 mechanics of viscous fluids computational fluid mechanics vari-ational principle finite element method mixed compatible el-ement mixed hybrid incompatible element
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The Finite Element Solutions to the Semiconductor Equations
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作者 管平 王文胜 《Journal of Southeast University(English Edition)》 EI CAS 1999年第1期75-80,共6页
In this paper, the approximation of stationary equations of the semiconductor devices with mixed boundary conditions is considered. Two schemes are proposed for the system. One is Glerkin discrete scheme, the other is... In this paper, the approximation of stationary equations of the semiconductor devices with mixed boundary conditions is considered. Two schemes are proposed for the system. One is Glerkin discrete scheme, the other is hybrid variable discrete scheme. A convergence analysis is also given. 展开更多
关键词 semiconductor equations finite element Galerkin method hybrid variable method
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Hybrid-Trefftz有限元法的研究进展 被引量:1
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作者 秦庆华 《力学进展》 EI CSCD 北大核心 1998年第1期71-82,共12页
系统概述了HybridTrefftz有限元法及其在弹性力学中的应用.该单元模型由于在插值函数上的灵活选择性使其比普通有限元能更有效地处理局部效应问题,如孔洞,集中荷载等.通过适当选择单元插值函数可构造出高精度的p-... 系统概述了HybridTrefftz有限元法及其在弹性力学中的应用.该单元模型由于在插值函数上的灵活选择性使其比普通有限元能更有效地处理局部效应问题,如孔洞,集中荷载等.通过适当选择单元插值函数可构造出高精度的p-扩展元和一系列满足特殊条件的新单元。 展开更多
关键词 p-扩展元 网线位移 弹性力学 H-T有限元
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Torsional postbuckling characteristics of functionally graded graphene enhanced laminated truncated conical shell with temperature dependent material properties
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作者 Hamad M.Hasan Saad S.Alkhfaji Sattar A.Mutlag 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2023年第4期272-279,共8页
Buckling and postbuckling characteristics of laminated graphene-enhanced composite(GEC)truncated conical shells exposed to torsion under temperature conditions using finite element method(FEM)simulation are presented ... Buckling and postbuckling characteristics of laminated graphene-enhanced composite(GEC)truncated conical shells exposed to torsion under temperature conditions using finite element method(FEM)simulation are presented in this study.In the thickness direction,the GEC layers of the conical shell are ordered in a piece-wise arrangement of functionally graded(FG)distribution,with each layer containing a variable volume fraction for graphene reinforcement.To calculate the properties of temperaturedependent material of GEC layers,the extended Halpin-Tsai micromechanical framework is used.The FEM model is verified via comparing the current results obtained with the theoretical estimates for homogeneous,laminated cylindrical,and conical shells,the FEM model is validated.The computational results show that a piece-wise FG graphene volume fraction distribution can improve the torque of critical buckling and torsional postbuckling strength.Also,the geometric parameters have a critical impact on the stability of the conical shell.However,a temperature rise can reduce the crucial torsional buckling torque as well as the GEC laminated truncated conical shell’s postbuckling strength. 展开更多
关键词 Torsional postbuckling Graphene enhanced composite Functionally graded graphene finite element method Conical shell
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基于混合建模的新型微槽刀具外冷通道结构优化设计
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作者 李波 何林 +1 位作者 周滔 田鹏飞 《机械设计与制造》 北大核心 2024年第9期300-305,共6页
这里提出了一种有限元法(FEM)和计算流体力学(CFD)的混合建模方法。通过单因素试验生成响应曲面,分析了喷嘴的直径、角度、压力对刀具最高温度的单因素和交互影响规律。采用正交试验设计方法,以刀具最高温度为评价指标,以微流道的截面... 这里提出了一种有限元法(FEM)和计算流体力学(CFD)的混合建模方法。通过单因素试验生成响应曲面,分析了喷嘴的直径、角度、压力对刀具最高温度的单因素和交互影响规律。采用正交试验设计方法,以刀具最高温度为评价指标,以微流道的截面形状、宽度,深度和微流道分布的角度为影响因素,通过仿真分析,研究以上四个因素对刀具降温的影响。研究表明,截面宽度较大的矩形微流道对刀具降温效果较好,微流道的角度、深度影响次之,微流道的形状影响最小。通过对模型的验证,证明了模型的有效性。 展开更多
关键词 流体力学 有限元法 混合建模 刀具最高温度
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基于分层法的石墨烯增强功能梯度Timoshenko梁动力特性有限元分析
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作者 黄立新 周小云 滕靓媚 《武汉科技大学学报》 CAS 北大核心 2024年第1期71-80,共10页
基于分层法对石墨烯增强功能梯度Timoshenko梁的动力特性问题进行有限元分析。在有限元建模过程中,首先将Timoshenko梁沿厚度方向分成若干层,然后利用改进的Halpin-Tsai细观力学模型计算各层的弹性模量,相应的泊松比和密度则根据混合率... 基于分层法对石墨烯增强功能梯度Timoshenko梁的动力特性问题进行有限元分析。在有限元建模过程中,首先将Timoshenko梁沿厚度方向分成若干层,然后利用改进的Halpin-Tsai细观力学模型计算各层的弹性模量,相应的泊松比和密度则根据混合率法则进行计算,最后对各层均采用4节点四边形板单元离散。通过数值算例分析分层数和单元尺寸比例的合理性,探究石墨烯片的分布形式、质量含量、几何形状和尺寸等因素对Timoshenko梁动力特性的影响。结果表明,添加少量的石墨烯能显著提高Timoshenko梁自由振动的频率,尤其在梁的上下部位分布较多正方形石墨烯片时效果最佳。随着石墨烯片长厚比的增加,Timoshenko梁的自由振动基频不断增大。当石墨烯片长厚比超过1 000之后,梁的基频变化不明显。 展开更多
关键词 石墨烯 功能梯度Timoshenko梁 有限元法 动力特性
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正交各向异性位势问题的Trefftz有限元法 被引量:6
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作者 王克用 李培超 张敏良 《力学季刊》 CSCD 北大核心 2012年第3期499-506,共8页
针对正交各向异性位势问题,提出了Trefftz有限元解法。通过坐标变换和拉普拉斯方程特征函数,求得正交各向异性问题的完备解系,进而构建单元域内位势场。然后,基于杂交泛函,结合单元网线位势场,系统推导了相应的Trefftz有限元列式。文末... 针对正交各向异性位势问题,提出了Trefftz有限元解法。通过坐标变换和拉普拉斯方程特征函数,求得正交各向异性问题的完备解系,进而构建单元域内位势场。然后,基于杂交泛函,结合单元网线位势场,系统推导了相应的Trefftz有限元列式。文末给出两个数值算例,使用四节点四边形单元OPT44建立有限元模型,计算结果验证了本文方法的有效性和准确性。 展开更多
关键词 杂交泛函 位势问题 正交各向异性介质 trefftz有限元法
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基于混合Trefftz有限梯度元法的功能梯度材料热传导数值模拟 被引量:2
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作者 曹蕾蕾 裴建中 +1 位作者 张春国 陈疆 《中国科技论文》 CAS 北大核心 2015年第2期222-226,共5页
针对功能梯度材料物性参数随坐标变化的特点,基于Trefftz完备解提出了求解功能梯度材料热传导问题的有限梯度元方法。首先,利用变量代换推导出指数型、二次型和三角型功能梯度材料稳态热传导问题的Trefftz完备解;然后,利用Trefftz完备... 针对功能梯度材料物性参数随坐标变化的特点,基于Trefftz完备解提出了求解功能梯度材料热传导问题的有限梯度元方法。首先,利用变量代换推导出指数型、二次型和三角型功能梯度材料稳态热传导问题的Trefftz完备解;然后,利用Trefftz完备解对单元内部的温度场进行插值,构造出可自然模拟材料梯度属性的梯度单元,在该基础上建立混合Trefftz有限梯度元法求解功能梯度材料的稳态热传导方程;最后,采用混合Trefftz有限梯度元法对典型功能梯度材料板的温度分布进行数值模拟,以验证该方法的正确性和有效性。 展开更多
关键词 功能梯度材料 trefftz完备解 梯度单元 混合trefftz有限元 温度分布
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正交各向异性轴对称位势问题的Trefftz有限元分析 被引量:4
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作者 王克用 黄争鸣 +1 位作者 李培超 刘博 《应用数学和力学》 CSCD 北大核心 2013年第5期462-469,共8页
Trefftz有限元法(Trefftz finite element method,TFEM)因其独特的优良品质而备受关注.针对正交各向异性轴对称位势问题,提出了一种4节点四边形环状单元.在该单元模型中,首先假设两套独立的位势插值模式:即单元域内场和网线场,然后代入... Trefftz有限元法(Trefftz finite element method,TFEM)因其独特的优良品质而备受关注.针对正交各向异性轴对称位势问题,提出了一种4节点四边形环状单元.在该单元模型中,首先假设两套独立的位势插值模式:即单元域内场和网线场,然后代入修正变分泛函并利用Gauss散度定理消除区域积分,最后根据驻值原理导得只含边界积分的单元刚度方程.数值算例表明了该单元的准确性、稳定性以及对网格畸变的不敏感性. 展开更多
关键词 trefftz有限元法 修正变分泛函 位势问题 轴对称 正交各向异性介质
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轴对称Poisson方程的Trefftz有限元解法 被引量:5
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作者 刘博 王克用 王明红 《应用数学和力学》 CSCD 北大核心 2015年第2期140-148,共9页
将径向基函数应用到一类轴对称Poisson方程的数值求解中,提出了一种Trefftz有限元计算格式.非0右端项将问题的特解引入Trefftz单元域内场,致使单元刚度方程涉及区域积分.利用径向基函数对特解近似处理,可消除区域积分,从而保持Trefftz... 将径向基函数应用到一类轴对称Poisson方程的数值求解中,提出了一种Trefftz有限元计算格式.非0右端项将问题的特解引入Trefftz单元域内场,致使单元刚度方程涉及区域积分.利用径向基函数对特解近似处理,可消除区域积分,从而保持Trefftz有限元法只含边界积分的优势.为获得特解,选取求解域内所有单元的节点和形心作为基本插值点,而在求解域之外构造一个虚拟边界,在其上布置一定数目的虚拟点作为额外插值点.数值算例验证了该方法的有效性和可行性. 展开更多
关键词 轴对称Poisson方程 trefftz有限元法 径向基函数 完全椭圆积分
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在役边坡耐久性弱化及整体稳定性影响分析
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作者 王华俊 马永政 +3 位作者 卿翠贵 叶文亚 李春光 赵勇博 《长江科学院院报》 CSCD 北大核心 2024年第6期114-121,163,共9页
针对在役边坡长期耐久性能弱化及对整体稳定性影响问题,首先依据混凝土结构耐久性原理,建立边坡支护结构耐久性弱化分析模型,结合室内耐久性加速试验进行验证分析,接着基于混合型非连续变形分析法(HDDA)扩展了锚杆单元连接不同位移模式... 针对在役边坡长期耐久性能弱化及对整体稳定性影响问题,首先依据混凝土结构耐久性原理,建立边坡支护结构耐久性弱化分析模型,结合室内耐久性加速试验进行验证分析,接着基于混合型非连续变形分析法(HDDA)扩展了锚杆单元连接不同位移模式块体的算法,利用该扩展型混合DDA法结合有限元法以分析耐久性弱化边坡稳定性问题,建立了总体计算基本框架。最后以浙江省某沿海公路边坡为案例进行分析,结果表明:在特定环境条件下边坡多型支护结构物在30~60 a内有锈胀开裂及断裂失效的可能性;假定锚杆不失效时边坡安全系数随年限增加存在一定降幅,而在考虑锚杆陆续失效时边坡安全系数降幅明显,需要提前采取加固措施。此外还表明混合型DDA法建模灵活、模拟结果合理,具有较好的应用价值。 展开更多
关键词 边坡耐久性 边坡稳定性 支护结构 混合型非连续变形分析法(HDDA) 有限元 边坡安全系数
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位势问题Trefftz有限元法的研究进展 被引量:1
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作者 王克用 岑皓 李培超 《上海工程技术大学学报》 CAS 2017年第3期204-209,共6页
简述Trefftz有限元法在位势问题中的研究进展,分析单元域内插值函数以及杂交泛函的构造方法.该构造方法使Trefftz有限元法具有诸多优点,如对网格畸变不敏感,多边形单元构造便捷,单元公式只涉及边界积分以及局部效应处理高效.文末,展望... 简述Trefftz有限元法在位势问题中的研究进展,分析单元域内插值函数以及杂交泛函的构造方法.该构造方法使Trefftz有限元法具有诸多优点,如对网格畸变不敏感,多边形单元构造便捷,单元公式只涉及边界积分以及局部效应处理高效.文末,展望了该领域未来的两个发展方向. 展开更多
关键词 位势问题 trefftz有限元法 杂交泛函 trefftz函数
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变系数位势问题的Trefftz有限元法 被引量:2
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作者 王克用 李培超 《上海工程技术大学学报》 CAS 2014年第1期58-62,67,共6页
根据杂交泛函,将变系数位势问题在单元水平上转化为正交各向异性位势问题,近似认为材料性质在每个单元内保持不变,从而提出了基于完备解的Trefftz有限元模型.数值算例表明,所得结果与解析解相当吻合.
关键词 变系数位势问题 trefftz有限元法 正交各向异性化 杂交泛函
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基于非线性电感的混合电磁铁磁力计算方法
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作者 申璐 张立伟 +3 位作者 修三木 张孟磊 杨长青 吕尚阳 《西南交通大学学报》 EI CSCD 北大核心 2024年第4期786-794,共9页
为提高混合电磁铁磁力计算的准确性和效率,综合考虑解析法计算速度快和有限元法计算精度高的优势,提出一种基于非线性电感的混合电磁铁磁力计算方法.首先,分析混合电磁铁电感与电流的关系,建立考虑磁饱和的非线性电感模型;然后,采用等... 为提高混合电磁铁磁力计算的准确性和效率,综合考虑解析法计算速度快和有限元法计算精度高的优势,提出一种基于非线性电感的混合电磁铁磁力计算方法.首先,分析混合电磁铁电感与电流的关系,建立考虑磁饱和的非线性电感模型;然后,采用等效面电流法,将2种典型的混合电磁铁结构(结构a、结构b)等效为多电磁线圈的纯电磁铁结构,进而利用能量平衡法推导出通用于串联磁路型混合电磁铁磁力表达式,其中非线性电感的参数变量由有限元仿真法拟合得到.研究结果表明:结构a和结构b利用本文所述方法得到的电磁力计算结果与传统有限元仿真结果的平均偏差为2.54%和2.37%,结构a与实验测量的平均偏差为2.63%,且与传统有限元法相比,计算效率极大提升,即本文所述方法通过较少任务的有限元仿真得到远高于现有解析公式准确性的电磁力计算结果. 展开更多
关键词 混合电磁铁 非线性电感 能量平衡法 有限元法 磁力计算
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Contact Stress Reliability Analysis Model for Cylindrical Gear with Circular Arc Tooth Trace Based on an Improved Metamodel
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作者 Qi Zhang Zhixin Chen +5 位作者 Yang Wu Guoqi Xiang Guang Wen Xuegang Zhang Yongchun Xie Guangchun Yang 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第7期593-619,共27页
Although there is currently no unified standard theoretical formula for calculating the contact stress of cylindrical gears with a circular arc tooth trace(referred to as CATT gear),a mathematical model for determinin... Although there is currently no unified standard theoretical formula for calculating the contact stress of cylindrical gears with a circular arc tooth trace(referred to as CATT gear),a mathematical model for determining the contact stress of CATT gear is essential for studying how parameters affect its contact stress and building the contact stress limit state equation for contact stress reliability analysis.In this study,a mathematical relationship between design parameters and contact stress is formulated using the KrigingMetamodel.To enhance the model’s accuracy,we propose a new hybrid algorithm that merges the genetic algorithm with the Quantum Particle Swarm optimization algorithm,leveraging the strengths of each.Additionally,the“parental inheritance+self-learning”optimization model is used to fine-tune the KrigingMetamodel’s parameters.Following this,amathematicalmodel for calculating the contact stress of Variable Hyperbolic Circular-Arc-Tooth-Trace(VH-CATT)gears using the optimized Kriging model was developed.We then examined how different gear parameters affect the VH-CATT gears’contact stress.Our simulation results show:(1)Improvements in R2,RMSE,and RMAE.R2 rose from0.9852 to 0.9974(a 1.22%increase),nearing 1,suggesting the optimized Kriging Metamodel’s global error is minimized.Meanwhile,RMSE dropped from3.9210 to 1.6492,a decline of 57.94%.The global error of the GA-IQPSO-Kriging algorithm was also reduced,with RMAE decreasing by 58.69%from 0.1823 to 0.0753,showing the algorithm’s enhanced precision.In a comparison of ten experimental groups selected randomly,the GA-IQPSO-Kriging and FEM-based contact analysis methods were used to measure contact stress.Results revealed a maximum error of 12.11667 MPA,which represents 2.85%of the real value.(2)Several factors,including the pressure angle,tooth width,modulus,and tooth line radius,are inversely related to contact stress.The descending order of their impact on the contact stress is:tooth line radius>modulus>pressure angle>tooth width.(3)Complex interactions are noted among various parameters.Specifically,when the tooth line radius interacts with parameters such as pressure angle,tooth width,and modulus,the resulting stress contour is nonlinear,showcasing amultifaceted contour plane.However,when tooth width,modulus,and pressure angle interact,the stress contour is nearly linear,and the contour plane is simpler,indicating a weaker coupling among these factors. 展开更多
关键词 CATT gear contact stress finite element method METAMODEL hybrid algorithm influencing factors
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