变分原理分析开裂简支箱梁剪力滞效应

变分原理通常应用于箱形截面梁剪力滞效应弹性分析,本文基于换算截面法,运用变分原理推导了预应力混凝土简支箱梁均布荷载作用、钢筋混凝土简支箱梁集中荷载作用的剪力滞系数计算公式,考虑了混凝土开裂对箱梁剪力滞效应的影响,并与试验结果和规范方法进行了对比分析。变分原理分析开裂混凝土箱梁剪力滞效应方法力学概念明确,是其弹性分析适用范围的拓展,亦可推广应用到混凝土连续箱梁开裂后的剪力滞效应分析,具有广阔的应用前景。     

大学、企业研发与区域创新的空间统计与计量分析

利用空间统计的Moran指数和空间计量经济学的空间误差模型和空间滞后模型,对2000年中国大陆31个省域的创新产出与大学与企业的关系进行了空间计量经济分析。结果发现:31个省域创新能力贡献主要是由企业研究与开发投入实现,大学研发对区域创新能力没有明显的作用,大学与企业研发的结合也没有对区域创新产生明显贡献。     

时滞Duffing型方程周期解的存在唯一性

该文利用拓扑度方法研究了一类时滞依赖状态的广义Duffing型泛函微分方程x'(t)$ 该文利用拓扑度方法研究了一类时滞依赖状态的广义Duffing型泛函微分方程x'(t)$ 该文利用拓扑度方法研究了一类时滞依赖状态的广义Duffing型泛函微分方程x'(t) g(x(t-τ(t,x(t))))=f(t)周期解的存在性,得到了方程周期解存在的充分条件和必要条件．研究了当滞量为常值时,方程周期解的存在唯一性．并且给出了所研究问题的一个应用实例．     

Numerical treatment of retarded differential–algebraic equations by collocation methods

This paper investigates retarded differential–algebraic equations of index zero to two with state-dependent delay. The theory needed to understand the numerical approach and analyze the numerical treatment by collocation methods is developed. Different strategies for tracking the jump discontinuities are considered and numerical examples are presented to support the convergence results. This revised version was published online in August 2006 with corrections to the Cover Date.     

Short duration gamma ray bursts

After a short review of gamma ray bursts (GRBs), we discuss the physical implications of strong statistical correlations seen among some of the parameters of short duration bursts (T ₉₀ < 2 s). Finally, we conclude with a brief sketch of a new unified model for long and short GRBs.     

Influence of the time delay of signal transmission on synchronization conditions in drive-response systems

Conditions for complete and lag synchronizations in drive-response systems are considered under the unified framework of generalized synchronization. The question is addressed that whether the synchronization conditions achieving complete synchronization is still valid for lag synchronization when the time delay of signal transmission between the drive and response systems increases from 0. Theoretical and numerical results show that whether the synchronization conditions is stable for the influence of the time delay of signal transmission depends on a particular form of equilibria of the drive and response systems. Furthermore, it seems that the less the number of the equilibria of the drive system, the more likely the synchronization conditions are stable for the time delay of signal transmission.     

Thermal Gradients in TMDSC Samples: A comparison of theory and experimental data

Until recently, the issue of the thermal gradients within TMDSC samples remained mostly a subject of theory and mathematical models — only the phase lag was subject to experimental verification, as this information is readily available from the analysis software of most instruments. There was no method to verify the transient behaviour and temperature gradients within a sample without making costly and intensive modifications to the equipment. Recently, however, a group of researchers were able to experimentally measure thermal profiles as a function of sample thickness with a high-speed, high-resolution infrared camera mounted on the TMDSC cell. Therefore, this paper is dedicated to comparing the predictions of our three-dimensional model with this newly available data.This revised version was published online in November 2005 with corrections to the Cover Date.     

Optimization of instrument response and resolution of standard- and high-speed power compensation DSC

Normally, for Standard DSC, the PerkinElmer power-compensation setting is the low dynamic range mode (LDRM). In this mode, a noise filter is applied to decrease the noise-to-signal ratio, which concomitantly gives rise to a delay in time of the signal measured. In case the signal is expected to be of high intensity — experienced for instance at high scan rates using High Performance DSC (HPer DSC) — the noise filtering could be diminished by which the associated delay in time would be less, leading to a faster response of the instrument, also resulting in an improved resolution. In fact, such can be realized using the faster noise filter of the high dynamic range mode (HDRM) available for the Pyris 1 and Diamond DSCs, which DSCs are both equipped with the HyperDSC^TM technique (HyperDSC being the commercial version of HPer DSC). The improvement in response is maximal for high rates like 100–500°C min⁻¹ but even at low rates like 10°C min⁻¹ it is still significant. Thus, taking advantage of HDRM, low-molar substances like indium and 4,4′-azoxyanisole show appreciable increasing height-to-width ratios for signals caused by crystallization, melting and the crystal <>liquid crystal transition respectively. Another advantage, the faster realization of steady state after the starting of the DSC, is of help in case of overlapping starting and transition signals during dynamic crystallization and melting, and during isothermal crystallization as elucidated for a HDPE. For 4,4′-azoxyanisole and for an ethylene-propylene copolymer having a broad melting range, it is shown that such faster response leads to a still better resolution with respect to temperature, even at high scan rates. Thus, the peaks belonging to the crystal-to-liquid crystal and the liquid crystal-to-isotropic liquid transitions of 4,4′-azoxyanisole were completely resolved while a thermal fractionation of the copolymer by the successive self-nucleation and annealing (SSA) technique with good resolution has been realized, both using rates as high as 200°C min⁻¹.     

滞后序列分析视域下的高中化学高端备课师生互动行为研究*

为揭示“高端备课”项目下教师与学生行为互动的关键特征,研究采用视频分析法及滞后序列分析法(LSA)对2019年高端备课项目中“离子反应”课堂中的师生交互行为、比率、教师语言、师生操作技术以及教师与学生之间的交互行为等进行量化与质性分析。研究发现,高端备课更加关注学生对于本源性认识问题的科学认识逻辑,以传授核心观念建构以及基于学生认识发展为本为理念,由知识解析为本向促进学生认识发展转变,通过师生思维不断碰撞的过程促进学生知识迁移与应用,为常态化课堂优化提供了参考路径。     

On the study of a rational expectation model with lagged endogenous variables

A rational expectation model with lagged endogenous variables is used to describe how the current price level is influenced by the expectation and historic price level. The time domain of the rational expectation model is extended to a complex discrete time domain which is a collection of points along the real number line. The rational expectation model with lagged endogenous variables is solved in multi-dimensional cases where the agents possess multiple assets, and the current price of each asset is related to the expected price and historical prices. An example about price determination process of storable commodities is given to illustrate the advantages of the rational expectation model on isolate time domain.