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971.
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
972.
973.
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
974.
975.
976.
用二级控制法对二维连续体进行形状优化 总被引:1,自引:0,他引:1
二级控制的意思是在自然设计变量和有限元网格节点之间加入设计单元,建立自然设计变量控制关键点坐标,关键点控制有限元网格节点,共两层控制关系。后一层控制关系借助有限元形函数描述设计单元,并引入相应的参数坐标,从而实现敏庋分析、结构形状变化的控制和网格的变动控制。本文使用二级控制理论有效地解决了二维连续体结构形状优化的一些困难,将形状优化问题处理成序列二次规划问题求解。使用MSC/PCL语言在MSC/Patran&Nasntran平台上实现了优化模块的二次开发。本文设计思路的可行性和程序的有效性通过若干算例得到证实。 相似文献
977.
本文简要评述船舶碰撞的研究进展和发展趋势.介绍了船舶碰撞研究的内容和方法(包括理论的和实验的).本文重点阐述实船试验方法,包括实尺试验的基本步骤,实尺试验的输入参数选择和试验地点选择.最后提出了综合性意见,并介绍了国内在碰撞研究方面已做的工作和将要做的工作. 相似文献
978.
979.
强爆炸冲击波作用下天线结构的离散变量优化设计 总被引:1,自引:0,他引:1
首先建立了强爆炸冲击波作用下天线结构受精度和应力约束的连续变量优化设计数学模型 ;其次 ,根据材料特点 ,将设计变量取为离散变量 ,提出了天线结构在强爆炸冲击波作用下受精度和应力约束的离散变量优化设计数学模型。采用离散变量优化算法离散复合形法 ,对强爆炸冲击波作用下的 8m天线进行了优化计算。结果表明 ,经优化设计后 ,天线重量仅为初始重量的 4 0 %。 相似文献
980.
Y. Ootao R. Kawamura Y. Tanigawa T. Nakamura 《Archive of Applied Mechanics (Ingenieur Archiv)》1998,68(10):662-676
Summary A neural network model is applied to optimization problems of material compositions for a functionally graded material plate
with arbitrarily distributed and continuously varied material properties in the thickness direction. Unsteady temperature
distribution is evaluated by taking into account the bounds of the number of the layers. Thermal stress components for an
infinite functionally graded material plate are formulated under traction-free mechanical conditions. As a numerical example,
a plate composed of zirconium oxide and titanium alloy is considered. In the optimization problem of minimizing the thermal
stress distribution, the numerical calculations are carried out making use of the neural network. The optimum material composition
is determined by taking into account the effect of temperature-dependence of material properties. The results obtained by
neural network and ordinary nonlinear programming method are compared.
Received 3 March 1998; accepted for publication 22 May 1998 相似文献