Stability Analysis of Composite Skew Plates Using a Dynamic Method

Stability analysis is carried out considering free lateral vibrations of simply supported composite skew plates that are subjected to both direct and shear in-plane forces. An oblique stress component representation is used, consistent with the skew-geometry of the plate. A double series, expressed in Chebyshev polynomials, is used here as the assumed deflection surface and Ritz method of solution is employed. Numerical results for different combinations of side ratios, skew angle, and in-plane loadings that act individually or in combination are obtained. In this method, the in-plane load parameter is varied until the fundamental frequency goes to zero. The value of the in-plane load then corresponds to a critical buckling load. Plots of frequency parameter versus in-plane loading are given for a few typical cases. Details of crossings and quasi degeneracies of these curves are presented.

Variational Approach to the Lane-Emden Equation

By the semi-inverse method, a variational principle is obtained for the Lane-Emden equation, which gives much numerical convenience when applying finite element methods or Ritz method.

Variational Approach to the Thomas-Fermi Equation

By the semi-inverse method, a variational principle is obtained for the Thomas-Fermi equation, then the Ritz method is applied to solve an analytical solution, which is a much simpler and more efficient method.

A Lagrangian for von Karman Equations of Large Deflection Problem of Thin Circular Plate

By the semi-inverse method proposed by He, a Lagrangian is established for the large deflection problem of thin circular plate. Ritz method is used to obtain an approximate analytical solution of the problem. First order approximate solution is obtained, which is similar to those in open literature. By Mathematica a more accurate solution can be deduced.

高层建筑结构之非线性地震响应分析

将高层建筑结构近似地等效成非线性弹性支承梁，以悬臂梁、柱之本征函数作为Ritz矢量，用能量法推导出结构的运动方程，其自由度数及计算量均比用有限元法时大为减小。用该文方法可以计算具弹塑性铰或弹塑性耗能器之剪切墙及框架式高层建筑结构。计算结果表明，采用非线性耗能器并引进高阻尼，可以显著地降低结构之地震响应。

具有滞迟耗能装置的高层建筑结构的随机响应分析

本文提出了一个近似分析具有滞迟耗能装置的高层建筑的方法。结构被模拟为一个具有滞迟非线性支座的悬臂梁。其控制方程由Ritz法导出,用等效线性化方法分析。此方法很省机时,故可方便地用于分析不同参数对响应的影响。数值计算结果显示,使用钢丝绳隔振器加粘弹性阻尼层有较好的减震效果,故推荐它作为一种抗震耗能装置。

复合材料及其结构的力学进展（第三册）

Algum lugar, lugar algum

A presente dissertação de mestrado propõe uma reflexão sobre os lugares da arte no contexto de um mundo globalizado em que o deslocamento se coloca como uma questão fundamental em diversas esferas da vida, dos homens, das coisas. Nesse mundo da mobilidade física ou virtual, concreta ou imaterial, objetiva ou simbólica, as obras de arte percorrem caminhos diversos e nos interrogam sobre como suportam, em seus deslocamentos, serem carregadas de um sistema de visibilidade para outro. O artista assume diferentes papéis e se relaciona com as questões da arte a partir de perspectivas móveis. Quando se deslocam artista e obra partem de um lugar conhecido e se movem para desconhecer. Caminham por Algum Lugar para chegar a Lugar Algum. Com o objetivo de especular sobre o que chamei de Algum Lugar, Lugar Algum, construo uma sequência de ações possíveis: caminhar, parar, compartilhar / perceber, imaginar / modificar, inventar, re-significar / afastar, aproximar / entrar, sair. Construir meu trabalho é orientar-me por um conjunto de ações em aberto nem sempre na mesma ordem. Como estratégia, exercito a ação de mover-me por lugares desconhecidos e busco manter sempre aumentado o meu nível de percepção dos lugares por onde passo. Uso meu corpo como um mediador sensível e me permito ser afetada. Procuro, de forma proposital, variar entre o estado de conhecer e de desconhecer. Trabalho a partir do cotidiano para tirar dele o que se mostre saliente e para me dedicar a reinventar lugares com o meu corpo e na minha mente. Ao relacionar a geografia do que está visível com um amplo universo que ainda se encontra num estado de vir a ser, coloco-me diante de uma geografia imaginária, busco uma forma de continuar infinitamente a construir hipóteses sobre Algum Lugar. Através de relações entre o meu processo de trabalho e algumas obras de artistas contemporâneos procuro estabelecer conexões que contribuam para deixar em aberto um campo potencial de investigações sobre os lugares da arte

Shock transmission and eigenvalue veering within a coupled system.

The operation of dynamical systems in harsh environments requires continuous monitoring. Internal sensors may be used to monitor the conditions in real time. A typical example is the sensor and electronic components used in space structures which, especially during launch, are subject to huge g force. The paper will present an experimental and theoretical study on a simplified model used to analyze the possible cause of high acceleration on the enclosed sensors and equipments due to impulsive loading. The model system consists of two beams coupled using compliant connections. An impulse hammer excites one beam, and vibrations are transmitted to the indirectly driven beam. A theoretical model is developed using a Rayleigh-Ritz approach and validated using experimental results in both the frequency and time domains. Monto Carlo simulation was done with random masses positioned on the indirectly driven beam to determine the worst-case conditions for maximum peak acceleration. Highest acceleration levels were found when mode matching in the two beams led to veering behavior in the coupled modes. The results suggest guidelines for the detailed design of internal components of a structure exposed to shock loading from its environment. [The authors thank Schlumberger Cambridge Research for financial support.].

Initial modelling and controller design for active control of spacecraft microvibrations

Microvibrations, at frequencies between 1 and 1000 Hz, generated by on board equipment, propagate throughout a spacecraft structure affecting the performance of sensitive payloads. The purpose of this work is to investigate strategies to model and reduce these dynamic disturbances by active control. Initial studies were performed by considering a mass loaded panel where the disturbance excitation source consisted of point forces, the objective being to minimise the displacement at an arbitrary output location. Piezoelectric patches acting as sensors and actuators were used. The equations of motion are derived by using Lagrange's equation with modal shapes as Ritz functions. The number of sensors/actuators and their location is variable. The set of equations obtained is then transformed into state variables and some initial controller design studies have been undertaken. These are based on feedback control implemented using a full state feedback and an observer which reconstructs the state vector from the available sensor signal. Here, the basics behind the structural modelling and controller design will be described. This preliminary analysis will also be used to identify short to medium term further work.

Shock transmission in a coupled beam system

This paper investigates the circumstances under which high peak acceleration can occur in the internal parts of a system when subjected to impulsive driving on the outside. Motivating examples include the design of packaging for transportation of fragile items. The system is modelled in an idealised form using two beams coupled with point connections. A Rayleigh-Ritz model of such coupled beams was validated against measurements on a particular beam system, then the model was used to explore the acceleration response to impulsive driving in the time, frequency and spatial domains. This study is restricted to linear vibration response and additional mechanisms for high internal acceleration due to nonlinear effects such as internal impacts are not considered. Using Monte Carlo simulation in which the indirectly driven beam was perturbed by randomly placed point masses a wide range of system behaviour was explored. This facilitates identification of vulnerable configurations that can lead to high internal acceleration. The results from the study indicate the possibility of curve veering influencing the peak acceleration amplification. The possibility of veering within an ensemble was found to be dependent on the relative coupling strength of the modes. Understanding of the mechanism may help to avoid vulnerable cases, either by design or by preparatory vibration testing. © 2013 Elsevier Ltd.

Ben Marais (1909-1999): The influences on and heritage of a South African Prophet during two periods of transformation

University of Pretoria / Dissertation / Department of Church History and Church Policy / Advised by Prof J W Hofmeyr

The contribution of warlordism to the disintegration of the western Roman army (c. AD 395-480)

My thesis investigates the dynamics behind the changing nature of the leadership of the western Roman army in the fifth century through the concept of ‘warlordism’. I carried this out by analyzing those cases of insubordination and military unrest in the officer class of the western Roman army, which can be shown to be linked to the slow decline of central authority and the imperial office in the period 395-480. My thesis demonstrates that theories of ‘Warlordism’, as developed in social sciences, can be useful for both the late Imperial west as for other eras of ancient history, such as the late Roman republic. Warlordism was a way of continuing politics, if necessary by military means, when commanders found themselves outside the legitimate framework. Unlike the case of usurpation of the imperial office, when there was little hope of achieving permanent recognition and acceptance, it offered insubordinate officers a chance of returning to the ruling imperial regime depending on circumstances and the success of their resistance. I propose that warlordism functioned as an alternative to usurpation, a tool for military dissidence, fuelled by an economy of violence. Contrary to modern warlordism, the warlordism of the fifth century AD represented a transient phase which no imperial commander was willing to prolong indefinitely. At some stage, given the means, warlords in the western Roman army wanted to become part of the imperial echelon again. Yet these alternative methods of violent opposition, and the acquisition of force through private means, ensured the breakdown of the state’s monopoly on violence and the disintegration of centralized armies. What started as an accidental revolution became a new form of military rule.