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In this paper the conservation theorems of the constrained Birkhoffian systems are
studied by using the method of integrating factors. The differential equations of
motion of the system are written. The definition of integrating factors is given
for the system. The necessary conditions for the existence of the conserved quantity
for the system are studied. The conservation theorem and its inverse for the system
are established. Finally, an example is given to illustrate the application of the
results. 相似文献
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Form invariance and conserved quantities of Nielsen equations of relativistic variable mass nonholonomic systems 总被引:1,自引:0,他引:1 下载免费PDF全文
In this paper, the definition and criterion of the form invariance of Nielsen equations for relativistic variable mass nonholonomic systems are given. The relation between the form invariance and the Noether symmetry is studied.Finally, we give an example to illustrate the application of the result. 相似文献
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Existential theorem of conserved quantities and its inverse for the dynamics of nonholonomic relativistic systems 总被引:3,自引:0,他引:3 下载免费PDF全文
We present a general approach to the construction of conservation laws for the dynamics of nonholonomic relativistic systems.Firstly,we give the definition of integrating factors for the differential equations of motion of a mechanical system.Next,the necessary conditions for the existemce of the conserved quantities are studied in detail.Then,we establish the existential theorem for the conserved quantities and its inverse for the equations of motion of a nonholonomic relativistic system.Finally,an exampled is given to illustrate the application of the result. 相似文献
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针对JYC油田的8106-5井组进行了调剖设计以及效果预测.首先,应用一种数学方法对调剖半径、调剖剂用量进行理论研究,得到8106-5井组的调剖半径为14.09 m,调剖剂用量为266 m3.接着,对调剖效果进行预测.应用油藏工程方法,确定调剖措施后各层的等效渗透率、吸水量,并通过对平面分配系数以及油井的分层含水率的计算,得到8106-5井组的日产油量为1.24 t.通过对产油量递减规律的研究,得到8106-5井组的调剖有效期和累积增油量分别为358 d和413.35 t.结果表明,研究成果对同类型油田的调剖设计及效果预测的研究有推广应用价值. 相似文献