大体积混凝土结构随机温度徐变应力计算方法研究

首次尝试将随机有限元法引入大体积混凝土结构随机温度徐变应力的计算．综合考虑各种随机因素,对于由材料物理参数随机性引起的随机温度场的影响,本文给出了相应于初应变隐式解法的随机有限元计算方法;对于周期平稳随机温度场对徐变应力场的影响,本文提出了复模量隐式解法,并首次视复频响应函数为材料参数的随机函数,给出了相应的复频响应－随机有限元列式;而对于一般非平稳绝热温升温度场的影响,本文提出了参数调幅逐段简化的方法．本文方法有效地克服了前人不能考虑材料参数随机性或需弹模不随时间变化的局限性     

Method of calculating band shape for molecular electronic spectra

A method for approximating the band shape of molecular electronic transitions based on a single geometric configuration is described. The band shape is modeled using an empirical parameter to estimate the width at half-height for each transition. In addition to generating a shape for allowed transitions, a procedure is developed for approximating the oscillator strength for the symmetry forbidden bands. The results obtained using these two approximations are then compared with experimental spectra and to the results obtained from stochastic methods for simple organic molecules, such as benzene, naphthalene, and the diazobenzenes. © 1998 John Wiley & Sons, Inc. J Comput Chem 19: 781–796, 1998     

Multivariate Liouville distributions

A random vector (X₁, …, X_n), with positive components, has a Liouville distribution if its joint probability density function is of the formf(x₁ + … + x_n)x₁^a₁.1 … x_n^a_n.1 with thea_i all positive. Examples of these are the Dirichlet and inverted Dirichlet distributions. In this paper, a comprehensive treatment of the Liouville distributions is provided. The results pertain to stochastic representations, transformation properties, complete neutrality, marginal and conditional distributions, regression functions, and total positivity and reverse rule properties. Further, these topics are utilized in various characterizations of the Dirichlet and inverted Dirichlet distributions. Matrix analogs of the Liouville distributions are also treated, and many of the results obtained in the vector setting are extended appropriately.     

Experimental modeling of physical laws

A physical law is represented by the probability distribution of a measured variable. The probability density is described by measured data using an estimator whose kernel is the instrument scattering function. The experimental information and data redundancy are defined in terms of information entropy. The model cost function, comprised of data redundancy and estimation error, is minimized by the creation-annihilation process. Received 24 February 2000 and Received in final form 21 February 2001     

Stochastic calculus for Markov processes associated with non-symmetric Dirichlet forms

Nakao’s stochastic integrals for continuous additive functionals of zero energy are extended from the symmetric Dirichlet forms setting to the non-symmetric Dirichlet forms setting.It? ’s formula in terms of the extended stochastic integrals is obtained.