Random Vibration of a Nonlinear System With a Set-up Spring

1962 ◽  
Vol 29 (3) ◽  
pp. 477-482 ◽  
Author(s):  
S. H. Crandall

Several aspects of the problem of random vibration in nonlinear systems are discussed in terms of a particular set-up spring system. Exact solutions for the mean square response and the expected frequency of zero-crossings are obtained by means of the Fokker-Planck equation. These are compared with approximate solutions obtained from equivalent linearization techniques. The distribution of response peaks is then studied and a probability density is derived for the peaks on a relative frequency basis. The probability density of the response envelope is also obtained and the relationship between the two distributions is discussed.

Author(s):  
Youming Li ◽  
Mohammad Noori ◽  
Zhikun Hou

Abstract Random vibration analysis of a nonlinear mass-spring system with a set-up spring type characteristics is considered. This system is a model of a physical device. The motion of the mass is divided into a number of stages. Using the principle of conservation of energy, governing equation of motion for various stages of displacement of the mass are derived. Deterministic free and forced vibration responses are obtained numerically. For the random vibration the excitation at the base of the system is assumed to be Gaussian white noise. Fokker-Planck-Kulmogorov equation is then used to derive the probability density function of the displacement response for this system. Several numerical results with practical engineering applications are presented.


Author(s):  
T. G. Naymik

Three techniques were incorporated for drying clay-rich specimens: air-drying, freeze-drying and critical point drying. In air-drying, the specimens were set out for several days to dry or were placed in an oven (80°F) for several hours. The freeze-dried specimens were frozen by immersion in liquid nitrogen or in isopentane at near liquid nitrogen temperature and then were immediately placed in the freeze-dry vacuum chamber. The critical point specimens were molded in agar immediately after sampling. When the agar had set up the dehydration series, water-alcohol-amyl acetate-CO2 was carried out. The objectives were to compare the fabric plasmas (clays and precipitates), fabricskeletons (quartz grains) and the relationship between them for each drying technique. The three drying methods are not only applicable to the study of treated soils, but can be incorporated into all SEM clay soil studies.


2015 ◽  
Vol 3 (1) ◽  
Author(s):  
Sunita ◽  
Urvashi Singh ◽  
Shalini Singh ◽  
Rajnee Sharma

The present study was conducted to examine the relationship between organisational stress and organisational citizenship behaviours (OCBs) in employees of call centers. The study also further explored as how stress at work set-up has negative impact on OCBs. A sample of 250 employees working in call centre of Gurgaon belonging to an age group of 25-30 years were selected on availability basis. All were working married couples living in nuclear families. Job stress survey (Spielberger & Vagg, 1999) and Organisational Citizenship Behaviour (Bateman & Organ, 1983) were administered. Data was analysed by using simple correlation and multiple regression. Results showed the negative relationship between organisational stress and OCBs. Results of regression analysis also exhibited the negative impact of stress on OCBs. The implications for the employees are discussed.


2015 ◽  
Vol 6 (2) ◽  
Author(s):  
Ginu George ◽  
Binoy Joseph

Employee engagement is becoming an important area of focus by many HR consultancies in the recent years. Organizations having engaged employees tend to out-perform than employees who are not engaged or disengaged, also it will enable them to compete better in their industry resulting in higher performance, lower turnover, more profitability etc., Despite of all this there are still some industries who are ignorant and neglect the importance of having engaged employees. Therefore there is a necessity for more of academic research on employee engagement which helps in creating awareness to these organizations about the prominence of focusing on employee engagement and the findings will also augments the existing literature on employee engagement. The study was conducted on 433 employees working in travel organizations set up in Bangalore with the purpose of determining the relationship psychological climate (antecedent) has on employee engagement and in turn its relationship with organizational citizenship behavior (outcome). The study also determines the mediating relationship of employee engagement between PC and OCB.


Author(s):  
Donghui Zhang ◽  
Ruijie Liu

Abstract Orienteering has gradually changed from a professional sport to a civilian sport. Especially in recent years, orienteering has been widely popularized. Many colleges and universities in China have also set up this course. With the improvement of people’s living conditions, orienteering has really become a leisure sport in modern people’s life. The reduced difficulty of sports enables more people to participate, but it also exposes a series of problems. As the existing positioning technology is relatively backward, the progress in personnel tracking, emergency services, and other aspects is slow. To solve these problems, a new intelligent orienteering application system is developed based on the Internet of things. ZigBee network architecture is adopted in the system. ZigBee is the mainstream scheme in the current wireless sensor network technology, which has many advantages such as convenient carrying, low power consumption, and signal stability. Due to the complex communication environment in mobile signal, the collected information is processed by signal amplification and signal anti-interference technology. By adding anti-interference devices, video isolators and other devices, the signal is guaranteed to the maximum extent. In order to verify the actual effect of this system, through a number of experimental studies including the relationship between error and traffic radius and the relationship between coverage and the number of anchor nodes, the data shows that the scheme studied in this paper has a greater improvement in comprehensive performance than the traditional scheme, significantly improving the accuracy and coverage. Especially the coverage is close to 100% in the simulation experiment. This research has achieved good results and can be widely used in orienteering training and competition.


2015 ◽  
Vol 19 (06) ◽  
pp. 1540009 ◽  
Author(s):  
SARAH MAHDJOUR

What do growth-oriented business models look like? While several economic theories, such as the theory of the firm, are based on the assumption that firms aim to maximise their profits, past research has shown that growth intention is heterogeneous among firms and that many business owners prefer to keep their firm at a size that they can manage with few resources. This paper explores the relationship of growth intention and business models, based on a sample of 135 German ICT businesses. Following an exploratory approach, Mann–Whitney U tests are applied to analyse how different business model designs correspond with different levels of growth intention. The results indicate that growth intention relates to business owners’ decisions regarding the provision of consulting services, the level of standardisation in offered products and services, the choice of addressed markets, the implementation of competitive strategies based on cost efficiency and of revenue streams based on one-time- and performance-based payments. Furthermore, the results show that growth oriented firms are no more likely than non-growth oriented firms to adapt their business models dynamically to changed internal or external conditions.


1950 ◽  
Vol 17 (4) ◽  
pp. 448-453 ◽  
Author(s):  
Dana Young

Abstract Ritz’s method is one of several possible procedures for obtaining approximate solutions for the frequencies and modes of vibration of thin elastic plates. The accuracy of the results and the practicability of the computations depend to a great extent upon the set of functions that is chosen to represent the plate deflection. In this investigation, use is made of the functions which define the normal modes of vibration of a uniform beam. Tables of values of these functions have been computed as well as values of different integrals of the functions and their derivatives. With the aid of these data, the necessary equations can be set up and solved with reasonable effort. Solutions are obtained for three specific plate problems, namely, (a) square plate clamped at all four edges, (b) square plate clamped along two adjacent edges and free along the other two edges, and (c) square plate clamped along one edge and free along the other three edges.


2014 ◽  
Vol 1 (2) ◽  
pp. 1-21
Author(s):  
Galina Yemelianova

Following the break-up of the USSR in 1991 the Muslim peoples of the Caucasus – corresponding to present-day Azerbaijan and the Russian North Caucasus – have been in a continuous process of renegotiating their Islamic identity and the role of Islam in the processes of nation-building. This has involved a complex set of factors, including the correlation between the rise of Islam and socio-economic well-being (or the lack of it), the level and longevity of Islamic heritage, the relationship between Islam and the nature of the ruling post-Soviet Caucasian regimes, and the degree of susceptibility to the region’s exposure to foreign influences, Islamic and Western. This article examines some of these factors from an historical perspective, concentrating on how the political elites and the populace variously dealt with essentially external influences in the course of their centuries-long incorporation within successive political empires. From the seventh century AD these were Islamic, emanating from the Umayyad, Abbasid, Timurid, Ottoman and Safavid empires; and from the nineteenth century, Russian Orthodox and Soviet atheist. An analysis of the dynamics set up by these influences and the distinctively Caucasian Muslim responses to them is crucial in understanding how current elites and their antagonists in the region embrace, reject and otherwise instrumentalise Islam.


2016 ◽  
Vol 17 (05) ◽  
pp. 1750033 ◽  
Author(s):  
Xu Sun ◽  
Xiaofan Li ◽  
Yayun Zheng

Marcus stochastic differential equations (SDEs) often are appropriate models for stochastic dynamical systems driven by non-Gaussian Lévy processes and have wide applications in engineering and physical sciences. The probability density of the solution to an SDE offers complete statistical information on the underlying stochastic process. Explicit formula for the Fokker–Planck equation, the governing equation for the probability density, is well-known when the SDE is driven by a Brownian motion. In this paper, we address the open question of finding the Fokker–Planck equations for Marcus SDEs in arbitrary dimensions driven by non-Gaussian Lévy processes. The equations are given in a simple form that facilitates theoretical analysis and numerical computation. Several examples are presented to illustrate how the theoretical results can be applied to obtain Fokker–Planck equations for Marcus SDEs driven by Lévy processes.


1998 ◽  
Vol 59 (1) ◽  
pp. 9-18
Author(s):  
Tock Keng Lim

Ascertaining the critical thinking and formal reasoning skills of students With the critical thinking movement gaining momentum at all levels of education in the United States and other countries, many thinking programmes have been developed. A thinking programme that emphasises process, teaching students how to think, rather than what to think, is the Philosophy for Children (P4C) programme, currently carried out in Singapore. A child, according to Matthew Lipman, the founder of the P4C programme, can reason deductively and logically, using concrete objects. In his specially written stories for children Lipman translated the abstract formulations to reasoning in a concrete way that children could understand. To determine whether primary and secondary pupils in Singapore can reason and do philosophy, a study was set up in 1992 to ascertain their reasoning skills. Two instruments were used: the New Jersey Test of Reasoning, developed in the early 1980s to evaluate the P4C programme, and the Test of Formal Reasoning, written by P. K. Arlin to measure the stage of intellectual and cognitive level of the student: concrete, high concrete, transitional, low formal or high formal. This article reports the findings of the study concerning the relationship between critical thinking as measured by the NJTR and concrete and formal reasoning as measured by the ATFR.


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