论文部分内容阅读
伽辽金法作为一种数值方法,广泛用于各种数学物理工程问题.教科书和一些文献关于伽辽金法试函数的选取存在一些争议,本文通过应用该法求解轴向力作用下悬臂梁的静动力学问题为例,证实仅选取满足位移而不满足力边界条件的试函数时,即使增加试函数的个数,可能也无法获得正确的计算结果.
关于伽辽金法的一点注记
【摘 要】
：
伽辽金法作为一种数值方法,广泛用于各种数学物理工程问题.教科书和一些文献关于伽辽金法试函数的选取存在一些争议,本文通过应用该法求解轴向力作用下悬臂梁的静动力学问题为例,证实仅选取满足位移而不满足力边界条件的试函数时,即使增加试函数的个数,可能也无法获得正确的计算结果.
【机 构】
：
西南交通大学力学与航空航天学院,成都 610031
【出 处】
：
力学与实践
【发表日期】
：
2022年2期
其他文献
Regulation mechanism of biomolecule interaction behaviors on the superlubricity of hydrophilic polym
Hydrophilic polymer coatings can improve the surface characteristics of artificial implants. However, because they are used in vivo, they inevitably come into contact with biomolecules that affect their interfacial tribological properties. In this paper,
Adhesion achieved through feet setae is fundamental for gecko agilely maneuvering. Although diverse hypotheses have been proposed, none of them thoroughly explains the setae function, implying a kind of hybrid-mechanism-based adhesion in geckos. In additi
Hydrogels as one kind of soft materials with a typical three-dimensional (3D) hydrophilic network have been getting great attention in the field of biolubrication. However, traditional hydrogels commonly show poor tribology performance under high-load con
Osteoarthritis is characterized by lubrication failure of the articular cartilage and severe inflammation of the joint capsule. Lubricating mesoporous silica nanoparticles (MSNs) have been developed for the treatment of osteoarthritis based on enhanced lu
为研究弯折波现象和分析弯折波对舰载机拦阻过程的影响,基于Euler–Bernoulli非线性梁理论,建立了考虑弯折波的拦阻索离散模型.对拦阻过程进行数值仿真,仿真结果表明,弯折波在整个拦阻过程均存在,使得拦阻钩载荷出现波动,且这种波动在拦阻初期最为剧烈,之后逐渐减弱.弯折波的存在明显缩短了拦停时间和拦停位移,还使得拦阻索拉力的最大值更大.此外,奇数重弯折波与偶数重弯折波在传播方向、拉力角和弯折波平均波速等方面均表现出明显的不同.
温度场与应力场是影响碳质千枚岩地层引水隧洞围岩强度的重要因素.设定2因素4水平16组试验,依据单轴与三轴试验结果,探讨热力耦合作用下碳质千枚岩应力?应变曲线性态与破坏模式,得到了峰值强度变化规律;基于Mohr–Coulomb强度准则(M–C)与Heok–Brown强度准则(H–B),分别建立了热力耦合作用下Mohr–Coulomb–Thermal法(M–C–T)和Heok–Brown–Thermal法(H–B–T)两种破坏强度计算方法.试验结果与理论分析表明,随围压增大与温度升高,碳质千枚岩从脆性破坏逐渐
Although experimental evidence has suggested that the polymer brush border (PBB) on the cartilage surface is important in regulating fluid permeability in the contact gap, the current theoretical understanding of joint lubrication is still limited. To add
为研究钻压传递机构安装位置对指向式导向工具主轴偏置力与造斜性能的影响规律,基于横向弯曲梁和纵横弯曲梁力学模型建立了考虑轴向载荷的主轴力学模型,运用微分方程通解对管柱力学进行求解的管柱单元组合方法,推导出主轴的几何方程和力学方程,分析了钻压传递机构安装位置对导向工具偏置力、钻头侧向力与钻头倾角等造斜性能参数的影响.结果表明,钻压传递机构安装位置距离钻头越远,工具主轴造斜所需的偏置力越小,而钻头侧向力与钻头倾角越大.
Influence of two polyphenols on the structure and lubrication of salivary pellicle: An in vitro stud
This study investigated the influence of two polyphenols on the structure and lubrication of the salivary pellicle, aiming to extend the understanding of astringency mechanisms. The salivary pellicle was prepared by the adsorption of human whole saliva on
土体冻胀率影响因素敏感性分析是人工冻土重要研究内容之一,对工程建设具有重要意义.人工冻土冻胀率影响因素众多,且各影响因素彼此耦合.选用甘肃地区砂壤土、黏土、壤土的实验数据,采用麻雀搜索算法优化反向传播算法(back propagation,BP)神经网络建立预测模型,在此基础上提出一种冻胀率影响因素敏感性计算方法.结果表明优化预测模型的预测精度远高于传统BP神经网络预测模型,且冻胀率各影响因素在砂壤土、黏土、壤土中最敏感的分别为冻结速率、初始干容重、初始含水率,为防范工程冻胀危害提供了重要参考.