On average, 60% of the world's people and cargo is transported by vehicle that move on rubber tires over roadways of various construction, composition, and quality. The number of such vehicles, including automobiles and all manner of trucks, increases continually with a growing positive impact on accessibility and a growing negative impact on interactions among humans and their relationship to the surrounding environment. This multiplicity of vehicles, through their physical impact and their emissions, is responsible for, among other negative results: waste of energy, pollution through...
On average, 60% of the world's people and cargo is transported by vehicle that move on rubber tires over roadways of various construction, composition...
Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important methods of singular perturbations within the scope of application of differential equations. The authors take a challenging and original approach based on the integrated mathematical-analytical treatment of various objects taken from...
Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that...
Covers the theoretical background of asymptotic approaches and its applicability to solve mechanical engineering-oriented problems of plates with mixed boundary conditions
"Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions" comprehensively covers the theoretical background of asymptotic approaches and its applicability to solve mechanical engineering-oriented problems of structural members, primarily plates (statics and dynamics) with mixed boundary conditions.The first part of this book is devoted to the description of asymptotic methods, and also includes...
Covers the theoretical background of asymptotic approaches and its applicability to solve mechanical engineering-oriented problems of plates with m...
This volume contains the invited papers presented at the 9th International C- ference "Dynamical Systems - Theory and Applications" held in ?od z, Poland, December 17-20, 2007 dealing with nonlinear dynamical systems. The conf- encegatheredanumerousgroupofscientistsandengineers, whodealwithwidely understoodproblemsofdynamicsmetalsoinengineeringanddailylife. Organizationof the conferencewould nothavebeen possiblewithouta great effortofthestaffoftheDepartmentofAutomaticsandBiomechanicsoftheTech- calUniversityof?od z. Thepatronageovertheconferencehasbeentakenbythef- lowingscienti?cinstitutions:...
This volume contains the invited papers presented at the 9th International C- ference "Dynamical Systems - Theory and Applications" held in ?od z, Pol...
The present monograph is devoted to nonlinear dynamics of thin plates and shells with termosensitive excitation. Since the investigated mathematical models are of di?erent sizes (two- and three-dimensional di?erential equation) and di?erent types (di?erential equations of hyperbolic and parabolic types with respect to spatial co- dinates), there is no hope to solve them analytically. On the other hand, the proposed mathematical models and the proposed methods of their solutions allow to achieve more accurate approximation to the real processes exhibited by dynamics of shell (plate) - type...
The present monograph is devoted to nonlinear dynamics of thin plates and shells with termosensitive excitation. Since the investigated mathematical m...
On average, 60% of the world's people and cargo is transported by vehicle that move on rubber tires over roadways of various construction, composition, and quality. The number of such vehicles, including automobiles and all manner of trucks, increases continually with a growing positive impact on accessibility and a growing negative impact on interactions among humans and their relationship to the surrounding environment. This multiplicity of vehicles, through their physical impact and their emissions, is responsible for, among other negative results: waste of energy, pollution through...
On average, 60% of the world's people and cargo is transported by vehicle that move on rubber tires over roadways of various construction, composition...
Jan Awrejcewicz Vadim Anatolevich Krys'ko Alexander F. Vakakis
There are many monographs in the existing literature devoted to the static and dynamic behavior of plates and shells. Plates and shells are enco- tered often in engineering applications being integralparts of a wide range of constructions, such as machines, vehicles, airplanes, rockets, ships, bridges, buildings, and containers, to name a few. In addition to the usual requi- ments posedby engineersrelatedtolightweightness, su?cientrigidityor?- ibility, and robust stability properties, there is an additional class ofapriori dynamicalpropertiesrequiredbymodernengineeringapplicationswheren-...
There are many monographs in the existing literature devoted to the static and dynamic behavior of plates and shells. Plates and shells are enco- tere...
This volume contains the invited papers presented at the 9th International C- ference Dynamical Systems Theory and Applications held in ?od z, Poland, December 17 20, 2007 dealing with nonlinear dynamical systems. The conf- encegatheredanumerousgroupofscientistsandengineers, whodealwithwidely understoodproblemsofdynamicsmetalsoinengineeringanddailylife. Organizationof the conferencewould nothavebeen possiblewithouta great effortofthestaffoftheDepartmentofAutomaticsandBiomechanicsoftheTech- calUniversityof?od z. Thepatronageovertheconferencehasbeentakenbythef- lowingscienti?cinstitutions:...
This volume contains the invited papers presented at the 9th International C- ference Dynamical Systems Theory and Applications held in ?od z, Poland,...
In this work, methods of analysis and models of contacting systems dynamics, including heat generation and wear exhibited by such systems, are presented. It should be emphasised that the methods and mathematical models of contacting systems exhibited by rigid/elastic bodies and heat/wear processes have been so far applied separately. Tribological processes occurring on a contact surface were not taken into consideration in the analysis of the dynamic rigid or elastic body models. On the other hand, most of the introduced models of bodies in contact that took tribological e?ects into...
In this work, methods of analysis and models of contacting systems dynamics, including heat generation and wear exhibited by such systems, are present...
Jan Awrejcewicz Vadim Anatolevich Krys'ko Anton V. Krys'ko
This monograph is devoted to nonlinear dynamics of thin plates and shells with thermosensitive excitation. Because of the variety of sizes and types of mathematical models in current use, there is no prospect of solving them analytically. However, the book emphasizes a rigorous mathematical treatment of the obtained differential equations, since it helps efficiently in further developing of various suitable numerical algorithms to solve the stated problems.
This monograph is devoted to nonlinear dynamics of thin plates and shells with thermosensitive excitation. Because of the variety of sizes and type...
