查询词典 Heaviside

The present method is applied to two-dimensional potential problems and the corresponding discrete equations are derived. Because the shape functions so-obtained possess the Kronecker delta property, the essential boundary conditions can be enforced as the FEM; furthermore, the Heaviside step function is used as the test function, there is no domain integral, and only a regular boundary integral is involved.

因为滑动Kriging插值方法构造的形函数满足Kronecker函数性质，所以本文建立的改进的无网格局部Petrov-Galerkin法可以像有限元法一样直接施加边界条件；由于采用Heaviside分段函数作为局部弱形式的权函数，因此在计算刚度矩阵时只涉及边界积分，而没有区域积分。

Then, on the basis of Atluri's work, a modified MLPG method is employed, in which the moving least squares approximation is used as a trial function and the Heaviside function is used as a test function of the weighted residual method.

然后基于Atluri等人的工作，采用移动最小二乘近似函数构造试函数，采用Heaviside函数作为加权残值法中的权函数，采用直接插值法施加本质边界条件而不采用罚函数法和拉格朗日乘子法。

The regularized Heaviside function was adopted to relate the material density to the material heat property and the discrete 0/1 design was obtained.

采用正则化的Heaviside函数建立了材料插值模型，获得了清晰的0/1拓扑。

Heaviside function was proposed to create a precise arithmetic model of the threshold gate. The model can describe both the set and reset behavior of the threshold gate.

提出采用Heaviside函数建立可精确描述门限门行为的数学模型，该数学模型可描述门限的置位、复位行为。

Radial basis function coupled with a polynomial basis function was used as a trail function, and a Heaviside function was used as a test function of the weighted residual method.

这种无网格方法采用径向基函数耦合多项式基函数来近似试函数，采用Heaviside函数作为加权残值法中的权函数。

In this paper, combining the moving Kriging interpolation method and meshless local Petrov-Galerkin method, an improved meshless local Petrov-Galerkin method is presented, in which the Heaviside step function is used as test function over the local weak form.

本文将滑动Kriging插值方法与无网格局部Petrov-Galerkin法相结合，采用Heaviside分段函数作为局部弱形式的权函数，提出一种改进的无网格局部Petrov-Galerkin法，进一步将这种无网格法应用于位势问题，并推导出相应的离散方程。

A bending motion equation of a tilting drive shaft with rigid multi-supports is derived by theorem of the motion of mass center, method of Galerkin and Heaviside function.

根据质心运动定理、Galerkin法和Heaviside函数，求得非惯性系下倾斜刚性多支点传动轴的弯曲运动方程。

In the optimization iteration, the levelset function values of nodes are considered as design variables. To computedifferences normally, the Heaviside function is handled for smoothing, theregularized Heaviside function is selected to avoid the oscillation inhomogenizations method, and the results can converge smoothly.

在优化迭代过程中，节点上的Level Set函数值被看作是设计变量，并且为了便于微分计算能够正常进行，对Heaviside函数及其导函数做了光滑化处理，选取了一种正则化的Heaviside函数，避免了均匀化方法中出现的振荡现象，可以平稳地收敛到最终结果。

In order to help for evaluating properties of soil in interaction more precisely, the paper applies elastic theory solution on different modulus in tension and compression for vertical load into semi-infinite elastic body. Through quoting Heaviside function, the solution of elasticity theory with different modulus in tension and compression is established founded on the solution of elasticity theory for the material incapable in tension and Mindlinsolution for equal modulus.

为使地基土在共同作用中的行为特征评价更为合理，本文应用了半空间问题竖向荷载下地基土的拉压模量不同弹性理论解，该理论解是通过引入Heaviside函数，利用不能承受拉应力材料的弹性理论解并结合拉压模量相等的经典Mindlin解而获得。

Nonlinear partial differential dynamic equations of bending vibration of a tilting stepped drive shaft with two supports were built under non-inertia movement coordinate system by theorem of the motion of mass center and Heaviside function. According to the condition of equal displacement in an adjoining plane of the shaft, an equivalent shaft and its equation were obtained. A motion equation of the equivalent shaft was obtained by method of Galerkin. An approximate steady-state solution of the main resonance was obtained by method of multiple scales. The influence factors, motion stability, amplitude jump of main resonance of a stepped drive shaft and so on were analyzed.

用质心运动定理、Heaviside函数建立了非惯性系下倾料两端支承阶梯传动轴的非线性弯曲振动偏微分动力学方程，并根据相邻轴段的衔接面处位移相等的条件，得到阶梯轴的当量轴及其动力学方程；用Galerkin法得到当量轴的弯曲运动方程，用多尺度法求得稳态下当量轴的主共振的一次近似定常解，分析了影响阶梯传动轴主共振的因素、运动稳定性、振幅突变性等。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。