Elastic Multibody Dynamics Book by Hartmut Bremer
Home > Science & Mathematics > Physics > Applied physics > Elastic Multibody Dynamics
Elastic Multibody Dynamics

Elastic Multibody Dynamics


     0     
5
4
3
2
1



International Edition


About the Book

1. INTRODUCTION; 1.1 Background; 1.2 Contents; 2. AXIOMS AND PRINCIPLES; 2.1 Axioms; 2.2 Principles - the 'Differential' Form; 2.3 Minimal Representation; 2.3.1 Virtual Displacements and Variations; 2.3.2 Minimal Coordinates and Minimal Velocities; 2.3.3 The Transitivity Equation; 2.4 The Central Equation of Dynamics; 2.5 Principles - the 'Minimal' Form; 2.6 Rheonomic and Non-holonomic Constraints; 2.7 Conclusions; 3. KINEMATICS; 3.1 Translation and Rotation; 3.1.1 Rotation Axis and Rotation Angle; 3.1.2 Transformation Matrices; 3.1.2.1 Rotation Vector Representation; 3.1.2.2 Cardan Angle Representation; 3.1.2.3 Euler Angle Representation; 3.1.3 Comparison; 3.2 Velocities; 3.2.1 Angular Velocity; 3.2.1.1 General Properties; 3.2.1.2 Rotation Vector Representation; 3.2.1.3 Cardan Angle Representation; 3.2.1.4 Euler Angle Representation; 3.3 State Space; 3.3.1 Kinematic Differential Equations; 3.3.1.1 Rotation Vector Representation; 3.3.1.2 Cardan Angle Representation; 3.3.1.3 Euler Angle Representation; 3.3.2 Summary Rotations; 3.4 Accelerations; 3.5 Topology - the Kinematic Chain; 3.6 Discussion; 4. RIGID MULTIBODY SYSTEMS; 4.1 Modeling aspects; 4.1.1 On Mass Point Dynamics; 4.1.2 The Rigidity Condition; 4.2 Multibody Systems; 4.2.1 Kinetic Energy; 4.2.2 Potentials; 4.2.2.1 Gravitation; 4.2.2.2 Springs; 4.2.3 Rayleigh's Function; 4.2.4 Transitivity Equation; 4.2.5 The Projection Equation; 4.3 The Triangle of Methods; 4.3.1 Analytical Methods; 4.3.2 Synthetic Procedure(s); 4.3.3 Analytical vs. Synthetic Method(s); 4.4 Subsystems; 4.4.1 Basic Element: The Rigid Body; 4.4.1.1 Spatial Motion; 4.4.1.2 Plane Motion; 4.4.2 Subsystem Assemblage; 4.4.2.1 Absolute Velocities; 4.4.2.2 Relative Velocities; 4.4.2.3 Prismatic Joint/Revolute Joint - Spatial Motion; 4.4.3 Synthesis; 4.4.3.1 Minimal Representation; 4.4.3.2 Recursive Representation; 4.5 Constraints; 4.5.1 Inner Constraints; 4.5.2 Additional Constraints; 4.5.2.1 Jacobi Equation;4.5.2.2 Minimal Representation; 4.5.2.3 Recursive Representation; 4.5.2.4 Constraint Stabilization; 4.6 Segmentation: Elastic Body Representation; 4.6.1 Chain and Thread (Plane Motion); 4.6.2 Chain, Thread, and Beam; 4.7 Conclusion; 5. ELASTIC MULTIBODY SYSTEMS - THE PARTIAL DIFFERENTIAL EQUATIONS; 5.1 Elastic Potential; 5.1.1 Linear Elasticity; 5.1.2 Inner Constraints, Classification of Elastic Bodies; 5.1.3 Disk and Plate; 5.1.4 Bea; 5.2 Kinetic Energy; 5.3 Checking Procedures; 5.3.1 HAMILTON's Principle and the Analytical Methods; 5.3.2 Projection Equation; 5.4 Single Elastic Body - Small Motion Amplitudes; 5.4.1 Beams; 5.4.2 Shells and Plates; 5.5 Single Body - Gross Motion; 5.5.1 The Elastic Rotor; 5.5.2 The Helicopter Blade (1); 5.6 Dynamical Stiffening; 5.6.1 The CAUCHY Stress Tensor; 5.6.2 The TREFFTZ (or 2nd Piola-Kirchhoff) Stress Tensor; 5.6.3 Second-Order Beam Displacement Fields; 5.6.4 Dynamical Stiffening Matrix; 5.6.5 The Helicopter Blade (2); 5.7 Multibody Systems - Gross Motion; 5.7.1 The Kinematic Chain; 5.7.2 Minimal Velocities; 5.7.3 Motion Equations; 5.7.3.1 Dynamical Stiffening; 5.7.3.2 Equations of Motion; 5.7.4 Boundary Conditions; 5.8 Conclusion; 6. ELASTIC MULTIBODY SYSTEMS - THE SUBSYSTEM ORDINARY DIFFERENTIAL EQUATIONS; 6.1 Galerkin Method; 6.1.1 Direct Galerkin Method; 6.1.2 Extended Galerkin Method; 6.2 (Direct) Ritz Method; 6.3 Rayleigh Quotient; 6.4 Single Elastic Body - Small Motion Amplitudes; 6.4.1 Plate; 6.4.1.1 Equations of motion; 6.4.1.2 Basics;; 6.4.1.3 Shape Functions: Spatial Separation Approach; 6.4.1.4 Expansion in Terms of Beam Functions; 6.4.1.5 Convergence and Solution; 6.4.2 Torsional Shaft; 6.4.2.1 Eigenfunctions; 6.4.2.2 Motion Equations; 6.4.2.3 Shape Functions; 6.4.3 Change-Over Gear; 6.5 Single Elastic Body - Gross Motion; 6.5.1 The Elastic Rotor; 6.5.1.1 Rheonomic Constraint; 6.5.1.2 Choice of Shape Functions - Prolate Rotor ( = 0); 6.5.1.3 Choice of Shape Functions - Oblate


Best Sellers



Product Details
  • ISBN-13: 9789048179503
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: 1st ed. Softcover of orig. ed. 2008
  • Language: English
  • Returnable: Y
  • Spine Width: 24 mm
  • Weight: 698 gr
  • ISBN-10: 9048179505
  • Publisher Date: 25 Nov 2010
  • Binding: Paperback
  • Height: 234 mm
  • No of Pages: 452
  • Series Title: Intelligent Systems, Control and Automation: Science and Eng
  • Sub Title: A Direct Ritz Approach
  • Width: 156 mm


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Elastic Multibody Dynamics
Springer -
Elastic Multibody Dynamics
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Elastic Multibody Dynamics

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals



    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!