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Buckling of Conical Shells under a Single Axial Load
The buckling of conical shells subjected to external loads is a classic problem in shell structures. Since the theoretical predications could not...
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Membrane Vibrations of Conical Shells
The vibrations of conical shells are due to the inertial and external forces acting the transverse, circumferential and meridional directions of the...
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Buckling of Inclined Columns
The stability of a simple truss subjected to a single force, P, as shown in Fig. 8.1 was investigated by Mises [40] as a basic model to illustrate...
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8 Karhunen-Loève Expansion
In the following, second order stochastic processes are considered, i.e. random functions x(t) satisfying E{x(t)2}<∞,...
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1 Objectives
Complex deterministic systems under deterministic loading are generally analyzed by the finite element method. This is mainly due to the most...
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B Lyapunov Matrix Differential Equation
The state space equation of the system defined in (6.18) is given by, see e.g. [91],...
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13 Random Vibrations of Multi-Story Structures
The procedure described in Sec.11 is now applied to both a multi degree of freedom system (12-story building, 36 degrees of freedom) and a large...
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Asymptotic Solutions of Conical Shells of Constant Thickness
The solutions of conical shells with linearly varying thickness presented in the last chapter have suggested a new approach to obtain asymptotic...
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Chapter 4 Rough Terrain Control
Effective control methods for mobile robots in rough terrain should maximize vehicle mobility despite changing terrain unevenness and traction...
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Chapter 5 Conclusions and Suggestions for Future Work
This monograph has presented estimation, motion planning, and control methods for improved mobile robot mobility in rough terrain environments,...
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Chapter 2 Rough Terrain Mobile Robot Modeling and Estimation
Kinematic and dynamic modeling are fundamental aspects of mobile robot analysis, motion planning, and control. Traditionally, for robots operating on...
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3 Non-linear Elasticity
In Fig. 3.1 we illustrate the motion of a body from a stress-free reference state, in which a material particle lies at x...
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10 Stress-Induced Crystallization of Rubber
The kinetic theory of rubber and also non-linear elasticity applied to rubber, lose their validity for (uniaxial) stretches of approximately λ =3....
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4 Biaxial Stretching of a Rubber Membrane – A Paradigm of Stability, Symmetry-Breaking, and Hysteresis
An elastic bar shortens under compression. But, if the compressive force surpasses a critical value, the bar buckles and so does an elastic sheet....
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7 Two Balloons – Revisited
Let us consider two identical balloons - with radii r 1 and r 2...
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Advances in Inorganic Fibers
Many types of ceramic fibers have been developed over the last 60 years. Of these, carbon fiber has grown into a large market involving...
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Modelling of Homogeneous and Composite Non-linear Electro-Elastic Elastomers
We present in a concise way the main features of non-linear electro-elastic modelling of homogeneous and composite elastomers. We focus on some...
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Elastic Localizations
The past few decades have witnessed a surge of interest in pattern formations in soft materials under various fields. This has partly been driven by...
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Investigation of Adherend Thickness in Thin-Ply Hybrid Laminates
The use of composite materials has been continuously increasing, hinged on its multiple advantages such as their high strength-to-weight ratio....
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The Effect of Adhesive Strength on Thin-Walled Metal Surfaces Coated with Cataphoresis Application According to Adhesive Thickness
Every day, new types of lighter and more durable materials are being discovered for use in production. The methods of processing and joining these...