多自由度的

Through an example in practical engineering,the state space iteration method is used for analy...

文中结合工程实例，采用状态空间迭代法进行结构动力时程响应分析，其计算结果表明，具有较高的精度，特别对多自由度体系的多输入、多输出等问题的动力响应解法，效率较高。

Key words weak parametric excitation;stability analysis;condition to avoid resonance;methods of multiple scales;excitations of different frequencies

并借助这一正交关系推广文［3］的工作，运用多尺度法分析了一般多自由度单频弱参激振动系统的稳定性。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesn't calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesnt calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

In the aspect of transferring relationship of exciting properties in various mounting environment, simply and applicatory transferring formulas about force and velocity are deduced in rigid and resilient mouting styles through a bridge of free velocity of machine feet. Different formulas are obtained in one-point contact, single excitation and multi-point contact, multi-excitation conditions.

在不同安装环境下激励特性的转换关系方面，以设备机脚自由振速为桥梁，针对刚性、弹性安装方式，推导了简单实用的力和速度转换关系，对单点单激励和多点多自由度激励获得了不同的计算公式。

ABSTRACT :Wavelet neural network possesses more degree of freedom and better adaptivity than multi-layer FP neural network.

小波神经元网络比多层前馈神经网络具有更多自由度和更好的顺应性。

ABSTRACT :Wavelet neural network possesses more degree of freedom and better adaptivity than multi-layer FP neural network.

摘 要：小波神经元网络比多层前馈神经网络具有更多自由度和更好的适应性。

ABSTRACT 摘要:Wavelet neural network possesses more degree of freedom and better adaptivity than multi-layer FP neural network.

摘要摘要：小波神经元网络比多层前馈神经网络具有更多自由度和更好的适应性。

ABSTRACT :Wavelet neural network possesses more degree of freedom and adaptivity than multi-layer FP neural network.

小波神经元比多层前馈神经网络具有更多自由度和更好的适应性。

ABSTRACT :Wavelet neural network possesses more degree of freedom and better adaptivity than multi-layer FP neural network.

内容摘要：摘要：小波神经元网络比多层前馈神经网络具有更多自由度和更好的适应性。

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。