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101.
Based on elasticity theory, various two-dimensional (2D) equations and solutions for extensional deformation have been deduced
systematically and directly from the three-dimensional (3D) theory of thick rectangular plates by using the Papkovich–Neuber
solution and the Lur’e method without ad hoc assumptions. These equations and solutions can be used to construct a refined
theory of thick plates for extensional deformation. It is shown that the displacements and stresses of the plate can be represented
by the displacements and transverse normal strain of the midplane. In the case of homogeneous boundary conditions, the exact
solutions for the plate are derived, and the exact equations consist of three governing differential equations: the biharmonic
equation, the shear equation, and the transcendental equation. With the present theory a solution of these can satisfy all
the fundamental equations of 3D elasticity. Moreover, the refined theory of thick plate for bending deformation constructed
by Cheng is improved, and some physical or mathematical explanations and proof are provided to support our justification.
It is important to note that the refined theory is consistent with the decomposition theorem by Gregory. In the case of nonhomogeneous
boundary conditions, the approximate governing differential equations and solutions for the plate are accurate up to the second-order
terms with respect to plate thickness. The correctness of the stress assumptions in the classic plane-stress problems is revised.
In an example it is shown that the exact or accurate solutions may be obtained by applying the refined theory deduced herein. 相似文献
102.
利用有限变形理论的Lagrange描述,借助非保守系统的Hamilton型变分原理,导出了描述弹性杆中几何非线性波的波动方程.为了使非线性波动方程有稳定的行波解,计及了粘性效应引入的耗散和横向惯性效应导致的几何弥散.运用多重尺度法将非线性波动方程简化为KdV-Bergers方程,这个方程在相平面上对应着异宿鞍-焦轨道,其解为振荡孤波解.如果略去粘性效应或横向惯性,方程将分别退化为KdV方程或Bergers方程,由此得到孤波解或冲击波解,它们在相平面上对应着同宿轨道或异宿轨道. 相似文献
103.
ZAHNGDa-Li LIJin-Bo DINGBin-Gang 《理论物理通讯》2003,40(3):353-356
Properties of the superdeformed bands of odd-odd nuclei in A~130 mass region are investigated systematically within the supersymmetry scheme including many-body interactions and a perturbation possessing the SO(5) (or SU(5)) symmetry on the rotational symmetry. The obtained γ-ray energies, the dynamical moments of inertia, and energy differences △Eγ - △Eγ^ref agree wlth experimental data. It shows that this approach is quite powerful in describing odd-odd nuclei in 130 mass region. 相似文献
104.
We prove the refined ABP maximum principle, comparison principle, and related existence and uniqueness theorem for the positive solutions of the Dirichlet problems of second order fully nonlinear elliptic equations on arbitrary bounded domains. 相似文献
105.
利用q变形三参数公式,计算了锕系和稀土偶偶核基带转动谱,详细分析了拟合参数值呈现出的规律性.结果表明,q变形转动惯量转子模型能够较精确地描述偶偶核基带转动谱. 相似文献
106.
分析了脱耦合项对于原子核转动惯量的重要影响.总结了奇质量核K=1/2带转动惯量变化规律的新特点.在此基础上讨论了193T1中3条新的超形变带的内部结构.目前尚无足够证据能够确认它们都是K=1/2带. 相似文献
107.
To predict the propagation of pressure and flow pulses in arterial system and the variation of vascular input impedance, a
branched and tapered tube model is studied through one-dimensional transient flow analysis. Coupling the continuity and momentum
equations yields a group of quasilinear hyperbolic partial differential equations which can be solved numerically by using
the method of characteristics. Several boundary conditions of the arterial system are also simplified suitably.
The propagation of the pulses of the arterial system and the vascular input impedance is calculated on computer by using the
dimensions and the physiological data of the arterial system. The results point out that the pressure and flow pulses of the
arterial system and the vascular input impedance produced by this theoretical model is consistent quite well with the experimental
results published. 相似文献
108.
本文指出,双通道计时法测量刚体转动惯量的误差比单通道测量误差小;此时,外力矩中不考虑加速度α时引入的测量偏差更是不能忽略,要对测量值进行修正. 相似文献
109.
110.
High-Velocity Laminar and Turbulent Flow in Porous Media 总被引:1,自引:0,他引:1
We model high-velocity flow in porous media with the multiple scale homogenization technique and basic fluid mechanics. Momentum and mechanical energy theorems are derived. In idealized porous media inviscid irrotational flow in the pores and wall boundary layers give a pressure loss with a power of 3/2 in average velocity. This model has support from flow in simple model media. In complex media the flow separates from the solid surface. Pressure loss effects of flow separation, wall and free shear layers, pressure drag, flow tube velocity and developing flow are discussed by using phenomenological arguments. We propose that the square pressure loss in the laminar Forchheimer equation is caused by development of strong localized dissipation zones around flow separation, that is, in the viscous boundary layer in triple decks. For turbulent flow, the resulting pressure loss due to average dissipation is a power 2 term in velocity. 相似文献