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991.
The paper presents a solution to the problem of thermal conduction and thermoelasticity for a thin shallow spherical shell
heated by a concentrated or local impulsive heat source moving over the shell surface. It is assumed that temperature is linearly
distributed across the shell thickness and that the shell, on its sides, exchanges heat with the environment in accordance
with Newton’s law of cooling. The Fourier and Laplace transforms are used to find an analytic solution. The dependence of
the temperature field and stress/strain components on the type of heating and the form of heat source is studied
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 11, pp. 85–92, November 2006. 相似文献
992.
等达因图象的自动采集与识别 总被引:1,自引:0,他引:1
文中提出了一种机机械扫描系统.小功率激光器、图象板、相移元件、微机和程序软件组成的等达因图象自动采集与处理系统,用灰度值比较的思想实现了等达因图象的跟踪采集。提出了四幅图象相移法实现等达因图象的自动识别。系统能快速、实时、精确和全自动地实现等达因图象的记录和分析。给出与物体内各点应力状态一一对应的位相图。并用来研究了其他实验方法困难的局部三维效应问题。 相似文献
993.
This paper presents stability and convergence results on a novel approach for imposing holonomic constraints for a class of multibody system dynamics. As opposed to some recent techniques that employ a penalty functional to approximate the Lagrange multipliers, the method herein defines a penalized dynamical system using penalty-augmented kinetic and potential energies, as well as a penalty dependent constraint violation dissipation function. In as much as the governing equations are not typically cocreive, the usual convergence criteria for linear variational boundary value problems are not directly applicable. Still numerical simulations by various researchers suggest that the method is convergent and stable. Despite the fact that the governing equations are nonlinear, the theoretical convergence of the formulation is guaranteed if the multibody system is natural and conservative. Likewise, stability and asymptotic stability results for the penalty formulation are derived from well-known stability results available from classical mechanics. Unfortunately, the convergence theorem is not directly applicable to dissipative multibody systems, such as those encountered in control applications. However, it is shown that the approximate solutions of a typical dissipative system converge to a nearby collection of trajectories that can be characterized precisely using a Lyapunov/Invariance Principle analysis. In short, the approach has many advantages as an alternative to other computational techniques:
Just as importantly, these results for nonlinear systems can be sharpened considerably for linear systems:
相似文献
(1) | Explicit constraint violation bounds can be derived for a large class of nonlinear multibody dynamics problems |
(2) | Sufficient conditions for the Lyapunov stability, and asymptotic stability, of the penalty formulation are derived for a large class of multibody systems |
(3) | The method can be shown to be relatively insensitive to singular configurations by selecting the penalty parameters to dissipate constraint violation energy |
(4) | The Invariance Principle can be employed in the method, in certain cases, to derive the asymptotic behavior of the constraint violation for dissipative multibody systems by identifying constraint violation limit cycles |
(5) | Explicit spectral error estimates can be obtained for substructure synthesis |
(6) | The penalty equations can be shown to be optimal in the sense that the terms represent feedback that minimizes a measure of the constraint violation |
994.
The objective of the paper is to develop a new algorithm for numerical solution of dynamic elastic-plastic strain hardening/softening
problems. The gradient dependent model is adopted in the numerical model to overcome the result mesh-sensitivity problem in
the dynamic strain softening or strain localization analysis. The equations for the dynamic elastic-plastic problems are derived
in terms of the parametric variational principle, which is valid for associated, non-associated and strain softening plastic
constitutive models in the finite element analysis. The precise integration method, which has been widely used for discretization
in time domain of the linear problems, is introduced for the solution of dynamic nonlinear equations. The new algorithm proposed
is based on the combination of the parametric quadratic programming method and the precise integration method and has all
the advantages in both of the algorithms. Results of numerical examples demonstrate not only the validity, but also the advantages
of the algorithm proposed for the numerical solution of nonlinear dynamic problems.
The project supported by the National Key Basic Research Special Foundation (G1999032805), the National Natural Science Foundation
of China (19872016, 50178016, 19832010) and the Foundation for University Key Teacher by the Ministry of Education of China 相似文献
995.
平面膜结构拓扑优化的有无复合体方法 总被引:18,自引:3,他引:18
将作者对桁架在应力约束下结构拓扑优化的有无复合体模型发展到平面膜结构在应力、位移约束下结构拓扑优化的建模与求解。同时提出了该模型的有效解法,获得了令人满意的数值结果。本文工作表明独立连续拓扑变量的提出对于结构拓扑优化的研究是有意义的。 相似文献
996.
Hans-Otto Walther 《Journal of Dynamics and Differential Equations》2007,19(3):593-622
Automatic soft landing is modeled by a differential equation with state-dependent delay. It is shown that in the model soft
landing occurs for an open set of initial data, which is determined by means of a smooth invariant manifold.
相似文献
997.
利用模态综合法分析车辆与桥梁之间的相互作用时,合理地构造桥梁的插值振型函数可以大幅提高计算精度.其中,分段三次Hermite插值函数和三次样条插值函数较为常用.为研究二者的异同,以简支梁桥为例分别采用这两种插值函数构造结构梁单元模型的一维插值振型函数和板单元模型的二维插值振型函数.基于以上两类插值振型函数,分析单自由度簧上质量匀速过桥时,桥梁的跨中位移、跨中梁底正应力和轮-桥接触力时程响应.结果表明:无论是一维问题还是二维问题,由三次样条插值法构造的插值振型函数与结构的实际振型较为吻合,计算结果具有较高的收敛性和精度.而要达到相同的精度,分段三次Hermite插值法则须加密单元网格,但其误差仅存在于独立网格内,不会累积放大. 相似文献
998.
999.
In the present paper, based on the nonlinear dynamic equation of spacial flexible mechanical arm with dual-link bar, the method of linear quadratic control is used to eliminate the remain vibration of mechanical arm. In the process of computation, the traditional differential algorithm is replaced by the time integration method. Because of taking the more precise time-intervals in the given time-interval and avoiding a lot of computational difficulties, the method of this paper has the characteristics of high precision and unconditional stable. For a typical structure, the precise control law is obtained and the advantages of the algorithm in this paper are shown. 相似文献
1000.