Structural elements / Francois Axisa and Philippe Trompette.

Format:

Book

Author/Creator:

Axisa, François, 1941-

Contributor:

Trompette, Philippe.

Series:

Modelling of mechanical systems ; 2

Language:

English

Subjects (All):

Mechanics, Applied.

System analysis.

Physical Description:

1 online resource (521 p.)

Edition:

1st ed.

Place of Publication:

Amsterdam ; Boston : Elsevier Butterworth-Heinemann, 2005.

Language Note:

English

Summary:

The modelling of mechanical systems provides engineers and students with the methods to model and understand mechanical systems by using both mathematical and computer-based tools. Written by an eminent authority in the field, this is the second of four volumes which provide engineers with a comprehensive resource on this cornerstone mechanical engineering subject. Dealing with continuous systems, this book covers solid mechanics, beams, plates and shells. In a clear style and with a practical rather than theoretical approach, it shows how to model continuous systems in order to study

Contents:

MODELLING OF MECHANICAL SYSTEMS VOLUME 2; Contents; Preface; Introduction; Chapter 1. Solid mechanics; 1.1.Introduction; 1.2. Equilibrium equations of a continuum; 1.2.1. Displacements and strains; 1.2.2. Indicial and symbolic notations; 1.2.3. Stresses; 1.2.4. Equations of dynamical equilibrium; 1.2.5. Stress-strain relationships for an isotropic elastic material; 1.2.6. Equations of elastic vibrations (Navier 's equations); 1.3. Hamilton's principle; 1.3.1. General presentation of the formalism; 1.3.2. Application to a three-dimensional solid; 1.3.2.1. Hamilton 's principle

1.3.2.2. Hilbert functional vector space.1.3.2.3. Variation of the kinetic energy; 1.3.2.4. Variation of the strain energy.; 1.3.2.5. Variation of the external load work; 1.3.2.6. Equilibrium equations and boundary conditions; 1.3.2.7. Stress tensor and Lagrange 's multipliers; 1.3.2.8. Variation of the elastic strain energy; 1.3.2.9. Equation of elastic vibrations; 1.3.2.10. Conservation of mechanical energy; 1.3.2.11. Uniqueness of solution of motion equations; 1.4. Elastic waves in three-dimensional media; 1.4.1. Material oscillations in a continuous medium interpreted as waves

1.4.2. Harmonic solutions of Navier 's equations1.4.3. Dilatation and shear elastic waves; 1.4.3.1. Irrotational,or potential motion; 1.4.3.2. Equivoluminal,or shear motion.; 1.4.3.3. Irrotational harmonic waves (dilatation or pressure waves); 1.4.3.4. Shear waves (equivoluminal or rotational waves); 1.4.4. Phase and group velocities .; 1.4.5. Wave reflection at the boundary of a semi-infinite medium; 1.4.5.1. Complex amplitude of harmonic and plane waves at oblique incidence; 1.4.5.2. Reflection of (SH)waves on a free boundary; 1.4.5.3. Reflection of (P)waves on a free boundary

1.4.6. Guided waves.1.4.6.1. Guided (SH)waves in a plane layer; 1.4.6.2. Physical interpretation; 1.4.6.3. Waves in an infinite elastic rod of circular cross-section; 1.4.7. Standing waves and natural modes of vibration; 1.4.7.1. Dilatation plane modes of vibration; 1.4.7.2. Dilatation modes of vibration in three dimensions; 1.4.7.3. Shear plane modes of vibration; 1.5. From solids to structural elements; 1.5.1. Saint-Venant 's principle; 1.5.2. Shape criterion to reduce the dimension of a problem; 1.5.2.1. Compression of a solid body shaped as a slender parallelepiped

1.5.2.2. Shearing of a slender parallelepiped1.5.2.3. Validity of the simplification for a dynamic loading; 1.5.2.4. Structural elements in engineering; Chapter 2. Straight beam models:Newtonian approach; 2.1. Simplified representation of a 3D continuous medium by an equivalent 1D model; 2.1.1. Beam geometry; 2.1.2. Global and local displacements; 2.1.3. Local and global strains; 2.1.4. Local and global stresses; 2.1.5. Elastic stresses; 2.1.6. Equilibrium in terms of generalized stresses; 2.1.6.1. Equilibrium of forces; 2.1.6.2. Equilibrium of the moments.; 2.2. Small elastic motion

2.2.1. Longitudinal mode of deformation

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [468]-471) and index.

ISBN:

1-280-63929-6

9786610639298

0-08-046136-0

OCLC:

476003120