3. Solution by differential quadrature method In the previous section, the governing equation of the dynamic and stability behavior of the nanobeam are derived. The Eq. (19) and Eq. (20) are the fourth order partial differential equations which are obtained as the governing equation of the vibration and buckling of the nanobeam, respectively. If it is not impossible to solve these equations as analytically, it is very hard to solve these equations as exact solutions. For this purpose, for computing the vibration frequencies and the buckling loads, the differential quadrature method is selected. The real reason of this selection is because that this method is one of the useful methods to solve the ordinary and partial boundary value and initial …show more content…
One of the researchers was Shu that he presented the differential quadrature method (DQ) for the first time [71]. To solve the computational mechanic problems, Bert and Malik [72] applied the DQM and they reported that the DQM was the most efficient method and they reported that the DQM solved the differential equations with fewer grid points and high accuracy. To this end, to date, the researchers have used the DQM to solve many mechanical engineering problems [73-80]. It is caused to gain accurate results in the lowest time. As noted, supplying the results which have the lowest grid point and deriving in the fast way are two important advantages of DQ method. In the recent years, to obtain the mechanical properties of the nanostructures the DQM is used and this is caused to produce the mechanical property of these structures accurately. The stability behavior of the rectangular nanoplate is investigated by Mohammadi et al. [77]. In that research, the DQM is used to obtain the shear in-plane buckling loads of the rectangular nanoplate. The stability analysis of the rectangular nanoplate subjected to linear load is investigated by Farajpour et al.
While taking psychology this past few months I have realized why I am who I am. I finally learned why I bite my finger nails and chew on things that probably are not good for my teeth. I also learned why I can take things that people might tell them and better myself, but others may cry. When I was younger I had a hard time regulating my emotions which lead to me externalizing my problem. This lead to me always playing rough. Most girls do not play this way, but this actually helped release my anger in a positive way. I also developed a resilience to stress, during times I find myself stressed out. I am finally why I am who I am because of the parenting style my parents used when I was younger. Most people wonder why they are who they are and
Life and death are two frequent topics in William Kent Krueger’s Bildungsroman, Ordinary Grace, affecting all of its characters in one way or another. The novel takes place in 1961 New Bremen, Minnesota where a World War II veteran and minister, Nathan Drum, and his nuclear family reside. This Steinbeckian novel mostly revolves around his children and their real life exposure to an evasive topic: death. Numerous times in the novel, it is heavily implied that Nathan Drum has killed in the war, and suffers some sort of post-traumatic stress which will later be transferred to his two sons, Frank and Jake. The multiple deaths disturbing Nathan’s sons and daughter both indirectly and directly affect
This chapter provides some insight into pulse wave analysis and its relation to arterial diseases. The shape of the arterial pulse wave is an augmentation of the forward traveling wave with the reflected wave. The amount of wave reflection is dependent on the arterial wall properties such as arterial stiffness and is expressed in terms of Augmentation Index. This approach has been studied extensively using various measuring techniques, all of which have respective advantages and disadvantages. The purpose of PWA can be seen in the section describing the medical conditions that affect the wave shape. The discussion is included to assist the reader in understanding the purpose of pulse wave analysis.
The influence of others can have a major impact on someone’s life; shaping both their belief and their behaviour. This is definitely the case in the Apprenticeship Of Duddy Kravitz. On his journey, toward becoming a ”‘somebody” several character's influence Duddy Kravitz negatively. Max Kravitz is not the best role model for Duddy, as he lies to him, assumes the worse for him, and degrades women. Uncle Benjy unintentionally teaches him violence, drinking, and what to do in a relationship. Jerry Dingleman, best known as “The Boy Wonder”, discourages Duddy and shows how Duddy can cheat his way to success. These three characters affect Duddy kravitz throughout his strive into becoming a successful man in the future.
During pregnancy, the body undergoes various physiological changes as it adapts to the role of developing a fetus. During this fragile time period, a mother’s body is susceptible to various medical conditions that she may otherwise not be at risk for at any other period in her life. The most common cause of abnormal hemorrhage during pregnancy, and in the puerperium, is the thrombohemorrhagic disorder disseminated intravascular coagulation, or DIC. DIC occurs secondary to an underlying condition, often undetected by the time that manifestations of DIC are apparent. Diagnosis of precipitating factors is imperative to preventing the development of DIC and prevention through vigilant, attentive medical care and treatment of associated disorders
As the shear modulus (modulus of rigidity) of the element being analyzed approaches infinity, the Timoshenko beam theory analysis approaches the Euler–Bernoulli analysis. Similarly, if the rotational inertial effects are neglected, the Timoshenko beam theory analysis approaches the Euler–Bernoulli analysis
Subsequent to investigating numerous theoretical approaches, there exist various techniques and theories that I would utilize with my clients. As I maintained in my avowal in discussion 1.1 at the semester’s commencement, my preferred model remains the Integration/Eclectic theory. This theory resonates with me since individuals stand as multifaceted organisms with dynamic apprehensions. Not one theory alone possesses the capability to be the cure-all for all souls, and each conundrum may not be solved by one specific technique. By amalgamating together fundamental facets of diverse theories, one can ascertain which effective component operates well with a client from each concept type. In this modus of therapy, one may support the client in
Nanotechnology today is a very broad and varied field. It has ramifications across all many industrials areas, including the automotive industry. As the field develops and the technology advances, the applications in conventional areas will broaden. Therefore, it is essential that those studying nanotechnology today be properly equipped to affect, and adapt to, these changes. The term ‘nanotechnology’ is not clearly defined. There are many different definitions, and meanings. However, it is often described as either, future nanosystems, including nano assemblers and robots, or as a broad term meaning any current technology which deals with small systems.
Now a day, lubricants containing nanoparticles are widely used in lubricating journal bearing due to their improved Tribological properties. It has been found that adding nanoparticles to the oil leads to increase the oil viscosity and hence the load carrying capacity of the bearing. Hence these types of lubricants can be used as a wear correction and a temporary treatment for the bearings suffer from wear to extend their life. In the present work, the performance of worn journal bearing has been extensively discussed when it is lubricated with oil containing TiO2 nanoparticles added to the base oil with different particle concentrations by weight. A little work related to the using of nanolubricant as a bearing wear corrector or a temporary treatment to extend the worn journal bearing life is the motivation behind the present work. Thermal performance of the worn bearing has been always compared with that of intact bearing. For this purpose, the worn journal bearing has been numerically simulated using the modified Reynolds equation to include the effect of induced oil film temperature on the oil viscosity and the energy
Sir Isaac Newton was one of the greatest Physicist and Mathematician who has ever walked on planet earth.He is well-known for formulating the three laws of motion knowns as “Newton's laws of motion”, as well as the inventor of Calculus etc. Joseph Raphson was one of the greatest Mathematician known best for Raphson method which was published in 1690.It appeared that Isaac Newton had developed an identical formula known as the Newton's method that he wrote in 1671 but this method could not be published until 1736, roughly 50 years after Raphson's Analysis.Since they both developed their method's independently, the method is now known as Newton-Raphson method.
ABSTRACT: Rational reconstructions standardly operate so as to transform a given problematic philosophical scientific account-particularly of a terminological, methodological or theoretical entity-into a similar, but more precise, consistent interpretation. This method occupies a central position in the practice of analytic philosophy. Nevertheless, we encounter-even if only in a very few specific publications-a vague image of it. This is due on the one hand to the problem of the intentions of application, i.e., of the normativity of rational reconstruction (descriptive/prescriptive-ambivalence). It is also due on the other hand to the problem of the significance of the method in the field of history of philosophy (systematic/historical-dichotomy). The varied usage within analytic philosophy, as well as the increasingly inflationary and interfering usage outside, contribute to make rational reconstruction somehow appear a Proteus in contemporary philosophical methodology. This paper attempts to administer first aid and to close a bit of the theoretical gap and thus to reach a more exact image for the interests of analytic philosophy. Self-application of the method appears to be the right remedy. A graduating rational reconstruction of a standard concept of rational reconstruction will be suggested, differentiating the concept of rational reconstruction according to normativity, and explicating the method of rational reconstruction into two such variants.
the degree of the highest order derivative in the ode is called the degree of the ode.
Evaluating Volterra Integro-Differential Equations in terms of Global, Polynomial and Numerical Equations in Boundary Conditions
2) Fundamentals of Physics Extended: Fifth Edition. David Hanley, Robert Resnick, Jearl Walker. Published by John Wiley & Sons, Inc, New York, Chichester, Brisbane, Toronto, Singapore. 1997.
Before beginning my first semester here at Vanguard I often found myself questioning why I believe what I believe. I had a hard time understanding the bible and an even harder time finding answers to my questions. It was difficult for me to find the courage to ask questions because I didn’t want to come off as someone who didn’t know everything about the bible. Once I started my freshman year I began understanding that I am not alone, every one has questions or things that they don’t quite understand. Encountering The New Testament broke down parts of the bible and made it much easier for me to understand.