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991.
992.
最优化算法的收敛准则 总被引:1,自引:0,他引:1
收敛准则是最优化算法的重要组成部分,其选择得好与坏将直接影响到算法的成功与否以及收敛得快与慢。现有常用的收敛准则基本上是建立在前后迭代点的逼近和它们相应函数值的逼近是否达到一定的精度要求以及迭代点处函数梯度是否接近于零的基础上的。它们各自有自己的适用范围。但它们的共同特点是对迭代终止点的性质不能做出判断。本文在总结和分析现有算法收敛准则的基础上,借助于正定矩阵、一维优化方法中对分法和黄金分割法,提出了新的算法收敛准则。算例结果表明,这些收敛准则是有效实用的。 相似文献
993.
应力约束下薄板结构的拓扑优化 总被引:17,自引:1,他引:17
研究了应力约束下薄板结构的拓扑优化问题,分析了极限应力的影响,建立了拓扑优化的数学模型,讨论了若干优化过程中的技术问题,最后,进行了实例计算。 相似文献
994.
In this paper, the design sensitivity analysis for the deflection of a beam or plate structure is first investigated with respect to the position of a simple support using the discrete method. Both elastic and rigid supports are taken into account, and closed-form formulae for the deflection sensitivity are developed straightforwardly. Then, on the basis of the design sensitivity analysis, a heuristic optimization algorithm, called the evolutionary shift method, is presented for support position optimization to minimize the maximal deflection of a structure with a fixed grid mesh scheme. In each iterative loop, the support with the highest efficiency is shifted in priority. To facilitate the convergence of the process, a polynomial interpolation technique is employed to evaluate the solution more accurately. The optimal solution is achieved gradually with a minimum modification of the support layout design. Finally, three numerical examples are presented to demonstrate the validities of the sensitivity analysis and the optimization method. Results show that support optimization can improve the structural behavior significantly. 相似文献
995.
Based on the modeling of dynamics and energy conversion in competitive swimming,the optimal control theory was used to make an optimization analysis of the distance traveled in a given time.Using the records of the 27th Olympics and the results from previous research,an optimal solution of propulsion was derived using some hypotheses and constraints.Correspondingly,the optimal tactic for velocity and energy was put forward which was in agreement with the practice. 相似文献
996.
997.
结构形状优化设计数值方法的研究和应用 总被引:1,自引:0,他引:1
本文论述了连续体结构形状优化设计数值方法的研究和应用进展,讨论了结构模型化、灵敏度分析、优化方法改进、优化实用软件开发以及同CAD技术相结合等问题,介绍了在结构优化设计软件MCADS中采用的方法,并通过工程实例说明了结构形状优化设计的应用及其价值。 相似文献
998.
Based on the dual theory of nonlinear mathematical programming and the second order Taylor series expansions of functions,
an efficient algorithm for structural optimum design has been developed. The main advantages of this method are the generality
in use, the efficiency in computation and the capability in identifying automatically the set of active constraints. On the
basis of the virtual work principle, formulas in terms of element stresses for the first and second order derivatives of nodal
displacement and stress with respect to design variables are derived. By applying the Saint-Venant's principle, the computational
efforts involved in the Hessian matrix associated with the iterative expression can be significantly reduced. This method
is especially suitable for optimum design of large scale structures. Several typical examples have been optimized to test
its uasefulness. 相似文献
999.
Petra Hackenberg Jean-Luc Rioual Owen R. Tutty Philip A. Nelson 《Applied Scientific Research》1995,54(4):293-311
In recent years there has been an increasing interest in the control of boundary-layer transition through the use of wall suction. In the current work suction is provided through one or more suction panels situated close to the leading edge of a plate. Experiments show that boundary-layer pressure fluctuation measurements can be used to identify the position of transition. Transition can be maintained at a desired location with minimum power consumption by employing an automatic adaptive feedback control loop which regulates the suction flow rates of two independent suction panels. This can be expressed as a constrained optimization problem. To allow the suction flow rates to be updated, a modified least mean squares algorithm is used within the control loop. Experimental measurements show that the control algorithm allows fast and stable convergence towards the optimum suction distribution for a double suction panel configuration. Numerical simulations have also been performed. The two-dimensional boundary layer was calculated allowing the viscous boundary layer to interact with the inviscid outer flow. Following linear stability theory the spatial growth rates are calculated by solving an Orr-Sommerfeld type eigenvalue problem, with the streamwise location of transition predicted via thee
N -method. Applying the same optimization strategy as in the experiments, good qualitative agreement between computations and experiments was found. The optimization algorithm has been applied to computer models where the relation between suction flow rates and transition location is described by an empirical analytical function. This shows that the controller can in principle be applied to systems with more than two suction panels.Nomenclature
b
transition location with zero suction
-
d
desired transition location
-
e(k)
error signal
-
k
iteration index
-
p
rms pressure
-
p
ref
reference rms pressure
-
r
sum of the reference pressure
-
u
streamwise velocity
-
u
e
external velocity
-
inviscid external velocity
-
A
wave amplitude
-
F(
)
cost function
- I
identity matrix
-
N
maximum amplification factor
- P
projection matrix
- R
Reynolds number
- Re
Reynolds number based on the boundary-layer thickness
- R
matrix of weights
- Tu
turbulence level
-
vector of suction flow rates
-
v
normal velocity
-
v
wall
suction velocity at the surface
-
x
streamwise coordinates
-
x
m
microphone location
-
x
T(k)
measured transition location
-
y
normal coordinate
-
y(k)
sum of the measured pressures
-
w(k)
noise
-
plate length
-
r +i
i
-
free stream velocity
-
*
displacement thickness
-
gradient vector
-
Lagrange multiplier
-
controller gain
-
disturbance stream function
-
disturbance amplitude
-
wave frequency
= complex wave number 相似文献
1000.