Excerpt from Introduction to Non-Linear Mechanics: Topological Methods, Analytical Methods, Non-Linear Resonance, Relaxation Oscillations
The spring constant in this case does not remain constant but diminishes with increasing 9. In this manner we obtain a more nearly correct representation of the motion. By retaining a greater number of terms in the power expansion of sin 0 we obtain still greater accuracy but the problem becomes more com plicated. In practice even the first approximation [3] gives an error of less than 1 per cent for angles of the order of 30 degrees.
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Paperback. Condition: New. Print on Demand. This book introduces readers to advanced mathematical techniques known as "Non-Linear Mechanics". These techniques open up the possibility of studying and solving problems in applied disciplines that could not be solved with previous methods. Drawing on examples from physics, engineering, and beyond, the author guides readers through foundational concepts before delving into advanced topics like topological and analytical methods. By exploring non-linear, or time-varying, interactions between systems, the book introduces techniques that expand the possibilities for mathematical modeling. The result is a powerful new set of tools for understanding a wide range of problems in engineering and science. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780282582692_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282582692
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