Flexible Multibody Dynamics
eBook - ePub

Flexible Multibody Dynamics

Efficient Formulations with Applications

Arun Banerjee

Share book
  1. 388 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Flexible Multibody Dynamics

Efficient Formulations with Applications

Arun Banerjee

Book details
Book preview
Table of contents
Citations

About This Book

This book demonstrates how to formulate the equations of mechanical systems. Providing methods of analysis of complex mechanical systems, the book has a clear focus on efficiency, equipping the reader with knowledge of algorithms that provide accurate results in reduced simulation time.

  • The book uses Kane's method due to its efficiency, and the simple resulting equations it produces in comparison to other methods and extends it with algorithms such as order-n
  • Kane's method compensates for the errors of premature linearization, which are often inherent within vibrations modes found in a great deal of public domain software
  • Describing how to build mathematical models of multibody systems with elastic components, the book applies this to systems such as construction cranes, trailers, helicopters, spacecraft, tethered satellites, and underwater vehicles
  • It also looks at topics such as vibration, rocket dynamics, simulation of beams, deflection, and matrix formulation

Flexible Multibody Dynamics will be of interest to students in mechanical engineering, aerospace engineering, applied mechanics and dynamics. It will also be of interest to industry professionals in aerospace engineering, mechanical engineering and construction engineering.

Frequently asked questions

How do I cancel my subscription?
Simply head over to the account section in settings and click on ā€œCancel Subscriptionā€ - itā€™s as simple as that. After you cancel, your membership will stay active for the remainder of the time youā€™ve paid for. Learn more here.
Can/how do I download books?
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
What is the difference between the pricing plans?
Both plans give you full access to the library and all of Perlegoā€™s features. The only differences are the price and subscription period: With the annual plan youā€™ll save around 30% compared to 12 months on the monthly plan.
What is Perlego?
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, weā€™ve got you covered! Learn more here.
Do you support text-to-speech?
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Is Flexible Multibody Dynamics an online PDF/ePUB?
Yes, you can access Flexible Multibody Dynamics by Arun Banerjee in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Mechanical Engineering. We have over one million books available in our catalogue for you to explore.

Information

1 Derivation of Equations of Motion

DOI: 10.1201/9781003231523-2

1.1 Available Analytical Methods and the Reason for Choosing Kaneā€™s Method

In this book, we formulate equations of motion for a system of rigid and flexible bodies undergoing large overall motion, where large overall motion for a flexible body means a small elastic vibration of the body with respect to a frame moving in large rotation and/or translation. Various choices of analytical methods are available for deriving equations of motion, v, such as Newtonā€“Euler methods and methods based on Dā€™Alembertā€™s principle together with the principle of virtual work, Lagrangeā€™s equations, Hamiltonā€™s equations, Boltzmannā€“Hamel equations, Gibbs equations, and Kaneā€™s equations. The most recent among these is Kaneā€™s method, based on a paper published in 1965, by Kane and Wang [1], and the method was given detailed exposition, with extensive applications, by Kane [2], Kane and Levinson [3], and Kane, Likins, and Levinson [4].
In a survey paper, Kane and Levinson [5] took up a fairly complex example, of an 8 degree of freedom (dof) system consisting of a spacecraft containing a four-bar linkage to show the difference between seven analytical methods; an application to a flexible spacecraft was also considered. The conclusion in Ref. [5] was that (i) Dā€™Alembertā€™s method is less laborious than a method using the conservation of momentum, with both methods requiring the introduction and elimination of constraint forces;...

Table of contents