振动系统的模态分析实验设计

利用模态分析原理和简单试验仪器，得到了直观的悬臂梁和圆盘前4阶模态振型，使学生熟悉了模态分析原理和测试方法，有利于学生对振动规律的理解．     

A New Modal Lindström Theorem

We prove new Lindstr?m theorems for the basic modal propositional language, and for some related fragments of first-order logic. We find difficulties with such results for modal languages without a finite-depth property, high-lighting the difference between abstract model theory for fragments and for extensions of first-order logic. In addition we discuss new connections with interpolation properties, and the modal invariance theorem. Mathematics Subject Classification (2000): Primary 03B45; Secondary 03C95     

Comparison of the thermal behavior of three cellulose fibers mercerized or submitted to solar degradation

Comparison of Lyocell, modal and viscose fibers was performed by means of differential scanning calorimetry, thermogravimetry and scanning electron microscopy. Thermal analysis was performed in air atmosphere. Samples were mercerized (21.3 g 100 mL-1) or submitted to solar radiation (seven months). Solar degraded samples presents a higher thermal stability and are initially less degraded. Furthermore, Lyocell fiber is the most stable under thermal degradation conditions. Heating produces a reduction of the fiber diameter (about 50%). This revised version was published online in July 2006 with corrections to the Cover Date.     

Measurement error and the Albert-Loewer problem

Modal interpretations of QM have the welcome consequence that unitarily evolved post-measurement states which superpose eigenstates of the anticipated pointer observable can represent devices registering determinate measurement outcomes. Albert and Loewer have claimed that modal interpretations cannot account for the outcomes of error-prone measurements. But Albert, Loewer, and their commentators have not always appreciated the relation of measurement error to the Albert-Loewer problem. I argue that measurement error is neither necessary nor sufficient to generate the Albert-Loewer problem, and use the Araki-Yanase theorem to show that measurements of a large class of observables, if they are error-free, are beset by the Albert-Loewer problem.     

Measurement: It ain't over till it's over

Elby (1993) has raised certain problems that appear to be devastating for modal interpretations of quantum mechanics, but do not arise for Bohm's pilot wave theory. Here I show that the features Elby identifies as objectionable in my version of the modal interpretation have their counterpart in Bohm's theory. To the extent that Bohm's theory works as a no collapse solution to the measurement problem - and I think it does - so does my modal interpretation.     

用频域法识别桥梁的模态参数

根据大型土木结构环境振动的特点,利用频域法对桥梁的模态参数进行识别,详细阐述了峰值检测法和复模态指示函数法识别桥梁模态参数的理论依据和实现方法,对比了两种方法各自的特点.利用香港汀九大桥的实测数据,辨识出了桥梁的模态参数,最后的辨识结果表明该方法在具体的工程应用中的有效性.     

裂纹悬臂方薄板的振动辐射声场

为研究含穿透裂纹悬臂方板的振动辐射声场，根据有限元模态分析理论，提取了含人工斜向和十字形穿透裂纹的悬臂方薄板各单元的相关物理参数，同时将瑞利积分离散化，进而计算出裂纹悬臂方薄板辐射声场的空间分布，并通过实验测定了含裂纹悬臂方薄板辐射声场的功率谱。结果表明，斜向裂纹越长，二、四、六阶模态的频率降低越多，而一、三、五阶模态频率随斜向裂纹长度的增大表现为先增大再减小的规律；十字裂纹越长，各阶模态的频率降低越多。穿透裂纹的出现不仅使悬臂板的模态频率有明显的变化，而且声场在空间的分布特征也有显著的变化。     

在役桥梁结构延性系数的动力评价方法

以桥墩的基本振型函数为基础,推导出基于试验动力参数的在役桥梁结构延性系数的计算公式,并给出了结构非弹性地震力的求解方法。对室内钢模型桥利用冲击力锤法进行了模态试验和静力对比试验,实测参数与理论值相差仅2%,在此基础上利用给出的公式可以求得桥墩的变形增加系数为2.78。结果表明,在场地土条件未知的情况下,利用动力试验法对在役桥梁结构延性系数进行评价是可行的。     

缆索支承桥梁模态阻尼特性及理论分析

在广泛收集国内大跨缆索支承桥梁的模态阻尼实测资料的基础上，通过对收集到的实测资料进行统计分析，研究了两种缆索支承桥梁：斜拉桥和悬索桥的模态阻尼特性．在现有的基于能量耗散的模态阻尼计算方法的基础上发展了一种缆索支承桥梁模态阻尼计算方法；利用模态阻尼实测数据得到了结合梁斜拉桥、混凝土斜拉桥和钢悬索桥子结构的损失系数，然后利用这一方法计算了南浦大桥、武汉长江二桥和虎门大桥的模态阻尼。     

论奎因对模态逻辑的批判

模态逻辑一经产生，就遭到奎因的质疑。奎因认为，模态概念无论在逻辑上还是在哲学上其正确性都值得怀疑。他甚至认为模态逻辑是多余的，应予以抛弃。通过对奎因批判模态逻辑的背景和理论进行分析，章认为奎因对模态逻辑的批评在观念上和论证上都存在缺陷，因此奎因的批判是不能成立的。