This book offers up novel research which uses analytical approaches to explore nonlinear features exhibited by various dynamic processes. Relevant to disciplines across engineering and physics, the asymptotic method combined with the multiple scale method is shown to be an efficient and intuitive way to approach mechanics. Beginning with new material on the development of cutting-edge asymptotic methods and multiple scale methods, the book introduces this method in time domain and provides examples of vibrations of systems. Clearly written throughout, it uses innovative graphics to exemplify complex concepts such as nonlinear stationary and nonstationary processes, various resonances and jump pull-in phenomena. It also demonstrates the simplification of problems through using mathematical modelling, by employing the use of limiting phase trajectories to quantify nonlinear phenomena. Particularly relevant to structural mechanics, in rods, cables, beams, plates and shells, as well as mechanical objects commonly found in everyday devices such as mobile phones and cameras, the book shows how each system is modelled, and how it behaves under various conditions. It will be of interest to engineers and professionals in mechanical engineering and structural engineering, alongside those interested in vibrations and dynamics. It will also be useful to those studying engineering maths and physics.
The strengthening of relations between Poland and Ukraine over the last 25 years is one of the most positive examples of transformations in bilateral relations in Central and Eastern Europe. In spite of the complex and difficult historical heritage dominated by the events of the World War II and the first few years that followed, after the fall of Communism in Poland and Ukraine, bilateral institutional cooperation was successfully undertaken, and mutual social contacts were recreated. The issue of Polish-Ukrainian relations at the international and trans-border level gained particular importance at the moment of expansion of the European Union to the east, and announcement of the assumptions of the European Neighbourhood Policy in 2004. Since then, relations have continued to thrive and provide a blueprint for cross-border relations in other parts of the EU. In this book the authors examine the issue of cooperation and cross-border relations on the new external border of the EU. The book’s primary objective is to present the way in which the Polish and Ukrainian parties develop the bilateral cooperation, adapting to the changing geopolitical conditions, and responding to the related challenges. The chapters offer a comprehensive diagnosis of the conditions determining the current and future state of Polish-Ukrainian cross-border cooperation and describe the area as a social, economic, and political space. The EU’s New Borderland will be of interest to university students of international relations, geography, economy, or history as well as those willing to expand their knowledge in the scope of regional geography, European integration, cross-border cooperation, and international relations.
Since the discovery of X-ray diffraction in 1913 over 100 000 different inorganic substances (also called compounds or phases) have been structurally characterized. The aim of this reference work is to provide the researcher with a comprehensive compilation of all up to now crystallographically identified inorganic substances in only one volume. All data have been processed and critically evaluated by the "Pauling File" editorial team using a unique software package. Each substance is represented in a single row containing information adapted to the number of chemical elements.
This book offers up novel research which uses analytical approaches to explore nonlinear features exhibited by various dynamic processes. Relevant to disciplines across engineering and physics, the asymptotic method combined with the multiple scale method is shown to be an efficient and intuitive way to approach mechanics. Beginning with new material on the development of cutting-edge asymptotic methods and multiple scale methods, the book introduces this method in time domain and provides examples of vibrations of systems. Clearly written throughout, it uses innovative graphics to exemplify complex concepts such as nonlinear stationary and nonstationary processes, various resonances and jump pull-in phenomena. It also demonstrates the simplification of problems through using mathematical modelling, by employing the use of limiting phase trajectories to quantify nonlinear phenomena. Particularly relevant to structural mechanics, in rods, cables, beams, plates and shells, as well as mechanical objects commonly found in everyday devices such as mobile phones and cameras, the book shows how each system is modelled, and how it behaves under various conditions. It will be of interest to engineers and professionals in mechanical engineering and structural engineering, alongside those interested in vibrations and dynamics. It will also be useful to those studying engineering maths and physics.
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.