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论“自然坐标系”在力学中的应用
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作者 汤庭显 《新疆职业教育研究》 1995年第1期33-38,共6页
在大学物理和力学教程中,常用一种特殊的坐标系,即自然坐标系.由于该坐标系的独特的性质,决定了它在物理学及力学中应用的重要意义,但在高等数学或数学分析教程中,对自然坐标系一般都不作专题讨论,而物理教程中又认为这种坐标系是数学... 在大学物理和力学教程中,常用一种特殊的坐标系,即自然坐标系.由于该坐标系的独特的性质,决定了它在物理学及力学中应用的重要意义,但在高等数学或数学分析教程中,对自然坐标系一般都不作专题讨论,而物理教程中又认为这种坐标系是数学问题也不作详细论证,因此对多数大学生而言,对这种坐标系的建立过程和特性便成为半盲区.本文则主要讨论自然坐标系的性质和特性.下面分五个方面来论述:一、自然坐标系的建立;二、自然坐标系单位矢量的表达式;三、速度和加速度在自然坐标系中的分量表达式;四、速度和加速度在自然坐标系中投影式的物理意义及其在力学问题中的特殊作用;五、自然坐标系在力学问题中的应用的举例说明. 展开更多
关键词 自然坐标系 单位矢量 质点运动 主法线方向 切向加速度 速度和加速度 法向加速度 力学问题 轨道方程 曲率半径
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螺旋楼梯的施工
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作者 林斌 《内蒙古科技与经济》 2002年第S1期227-227,共1页
关键词 螺旋楼梯 曲率半径 楼梯扶手 阿基米德螺线 内蒙古 主法线方向 房地产开发 坡度放样 空间曲线 法向加速度
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SATI algorithm - the calculation of stress aligned HTI stiffness tensor for sandstone reservoir from wireline data
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作者 BRAJANOVSKI Miroslav 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第11期1937-1942,共6页
I present an algorithm that uses cross-dipole wireline data only in order to estimate the HTI stiffness tensor for sandstone formations under in-situ asymmetric lateral (azimuthal) stress conditions.The algorithm is b... I present an algorithm that uses cross-dipole wireline data only in order to estimate the HTI stiffness tensor for sandstone formations under in-situ asymmetric lateral (azimuthal) stress conditions.The algorithm is based on the generalization of terms "excess compliance" and "fracture weakness" developed within the linear slip interface theory for fractured rocks and is applied here to describe the effect of grain contacts in loose sandstones.I introduce the term "plane of weakness" being oriented (aligned) orthogonal to theminimal horizontal principal stress direction in order to describe the overall effective weakness of sandstone caused by the different principal stresses.For the quantification of this phenomenon I use the anisotropic Gassmann model.As a result I am able to calculate a HTI stiffness tensor for the interval length of a saturated sandstone formation and the respective Thomsen's parameters.The input data required for these calculations have to be provided by wireline logging and will consist of porosity,density,P-wave velocity,fast and slow shear wave velocities and oil-water saturation ratio.The algorithm in its current form is applicable to sandstone reservoirs only.Its limitation is based on two assumptions,which state that all the measured anisotropy is induced by the present stress in sandstone and that the unstressed sandstone would be nearly isotropic.From a technical viewpoint this algorithm can be implemented fairly easily in data acquisition and interpretation software relying on correct estimation of anisotropy parameters.It is also cheap because it does not require any additional measurements apart from the cross-dipole logging. 展开更多
关键词 rock physics poroelasticity FRACTURES stress ANISOTROPY S-WAVES
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