asme2e.bib

\usepackage{cite}
@ARTICLE{Meijaard2007,
  author = {Meijaard, J. P. and Papadopoulos, Jim M. and Ruina, Andy and Schwab,
	A. L.},
  title = {Linearized dynamics equations for the balance and steer of a bicycle:
	{A} benchmark and review},
  journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering
	Sciences},
  year = {2007},
  volume = {463},
  pages = {1955--1982},
  number = {2084},
  month = {August},
  abstract = {We present canonical linearized equations of motion for the Whipple
	bicycle model consisting of four rigid laterally symmetric ideally
	hinged parts: two wheels, a frame and a front assembly. The wheels
	are also axisymmetric and make ideal knife-edge rolling point contact
	with the ground level. The mass distribution and geometry are otherwise
	arbitrary. This conservative non-holonomic system has a seven-dimensional
	accessible configuration space and three velocity degrees of freedom
	parametrized by rates of frame lean, steer angle and rear wheel rotation.
	We construct the terms in the governing equations methodically for
	easy implementation. The equations are suitable for e.g. the study
	of bicycle self-stability. We derived these equations by hand in
	two ways and also checked them against two nonlinear dynamics simulations.
	In the century-old literature, several sets of equations fully agree
	with those here and several do not. Two benchmarks provide test cases
	for checking alternative formulations of the equations of motion
	or alternative numerical solutions. Further, the results here can
	also serve as a check for general purpose dynamic programs. For the
	benchmark bicycles, we accurately calculate the eigenvalues (the
	roots of the characteristic equation) and the speeds at which bicycle
	lean and steer are self-stable, confirming the century-old result
	that this conservative system can have asymptotic stability.},
  doi = {10.1098/rspa.2007.1857},
  url = {\url{http://rspa.royalsocietypublishing.org/content/463/2084/1955.abstract}},
}

@ARTICLE{Basu-Mandal2007,
  author = {Basu-Mandal, Pradipta and Chatterjee, Anindya and Papadopoulos, Jim
	M.},
  title = {Hands-free circular motions of a benchmark bicycle},
  journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering
	Sciences},
  year = {2007},
  volume = {463},
  pages = {1983--2003},
  number = {2084},
  month = {August},
  abstract = {We write nonlinear equations of motion for an idealized benchmarkbicycle
	in two different ways and verify their validity. We then present
	a complete description of hands-free circular motions. Three distinct
	families exist. (i) A handlebar-forward family, starting from capsize
	bifurcation off straight-line motion and ending in unstable static
	equilibrium, with the frame perfectly upright and the front wheel
	almost perpendicular. (ii) A handlebar-reversed family, starting
	again from capsize bifurcation but ending with the front wheel again
	steered straight, the bicycle spinning infinitely fast in small circles
	while lying flat in the ground plane. (iii) Lastly, a family joining
	a similar flat spinning motion (with handlebar forward), to a handlebar-reversed
	limit, circling in dynamic balance at infinite speed, with the frame
	near upright and the front wheel almost perpendicular; the transition
	between handlebar forward and reversed is through moderate-speed
	circular pivoting, with the rear wheel not rotating and the bicycle
	virtually upright. Small sections of two families are stable.},
  url = {http://dx.doi.org/10.1098/rspa.2007.1849},
}

@BOOK{Kane1985,
  title = {Dynamics: Theory and Applications},
  publisher = {McGraw Hill},
  year = {1985},
  author = {Kane, Thomas R. and Levinson, David A.},
  address = {New York, NY},
  abstract = {This textbook is intended to provide a basis for instruction in dynamics.
	Its purpose is not only to equip students with the skills they need
	to deal effectively with present-day dynamics problems, but also
	to bring them into position to interact smoothly with those trained
	more conventionally.},
  isbn = {0070378460},
}

@ARTICLE{Sayers1991,
  author = {Michael W. Sayers},
  title = {A Symoblic Computer Language For Multibody Systems},
  journal = {Journal of Guidance, Control and Dynamics},
  year = {1991},
  volume = {14},
  pages = {1153--1163},
  number = {6},
  month = {November},
}

@ARTICLE{Matplotlib,
    author={Hunter, J.D.},
    journal={Computing in Science Engineering}, title={Matplotlib: A 2D Graphics Environment},
    year={2007},
    month={may-june },
    volume={9},
    number={3},
    pages={90 -95},
    keywords={Computer languages;Equations;Graphical user interfaces;Graphics;Image generation;Interpolation;Operating systems;Packaging;Programming profession;User interfaces;computer graphics;mathematics computing;object-oriented programming;software packages;2D graphics package;Matplotlib;Python;application development;interactive scripting;operating system;publication-quality image generation;user interface;Python;application development;scientific programming;scripting languages;},
    doi={10.1109/MCSE.2007.55},
    ISSN={1521-9615},
    url = "http://matplotlib.org/"
}

@ARTICLE{Peterson2013,
    author = {Dale L. Peterson, Gilbert Gede, Mont Hubbard},
    title =  {Linearization Procedure for Constrained Multibody Systems},
    journal = {Multibody System Dynamics},
    year = {submitted Oct. 2012}
}

@PHDTHESIS{Sayers1990,
  author = {Michael William Sayers},
  title = {Symbolic Computer Methods to Automatically Formulate Vehicle Simulation Codes},
  school = {The University of Michigan},
  year = {1990},
}

@MANUAL{SymPy2012,
  title = {SymPy: Python library for symbolic mathematics},
  author = {SymPy Development Team},
  year = {2012},
  url = {http://www.sympy.org}
}

@BOOK{Kane2000,
  title = {Dynamics Online: Theory and Implementation with AUTOLEV},
  publisher = {Online Dynamics, Inc.},
  year = {2000},
  author = {Kane, T. R. and Levinson, D. A},
  address = {Sunnyvale, CA},
}

@BOOK{Crandall1968,
address = {Malabar, Florida},
author = {Crandall, Stephen H. and Karnopp, Dean C. and {Edward F. Kurtz}, Jr. and Pridmore-Brown, David C.},
publisher = {Krieger Publishing Company},
title = {Dynamics of mechanical and electromechanical systems},
year = {1968}
}

@MISC{Enlighten2013,
  author = {Enlighten Engineering},
  title = {{OMD}: Opensource Multibody Dynamics},
  year = {2013}
}

@MISC{SciPyStackGithub,
    title = {{SciPy} Stack},
    note = {http://scipy.github.com/stackspec.html},
    url = {http://scipy.github.com/stackspec.html}
}

@MISC{SciPy,
    author =    {Eric Jones and Travis Oliphant and Pearu Peterson and others},
    title =     {{SciPy}: Open source scientific tools for {Python}},
    year =      {2001--},
    url = {http://www.scipy.org/}
}

@Misc{NumPy,
    author = {Travis E. Oliphant},
    Title = {Python for Scientific Computing},
    Journal = {Computing in Science \& Engineering 9, 90 (2007)},
    url = {http://www.numpy.org/}
}

@ARTICLE{Matplotlib,
    author={Hunter, J.D.},
    journal={Computing in Science Engineering},
    title={Matplotlib: A 2D Graphics Environment},
    year={2007},
    month={may-june },
    volume={9},
    number={3},
    pages={90 -95},
    keywords={Computer languages;Equations;Graphical user interfaces;Graphics;Image generation;Interpolation;Operating systems;Packaging;Programming profession;User interfaces;computer graphics;mathematics computing;object-oriented programming;software packages;2D graphics package;Matplotlib;Python;application development;interactive scripting;operating system;publication-quality image generation;user interface;Python;application development;scientific programming;scripting languages;},
    doi={10.1109/MCSE.2007.55},
    ISSN={1521-9615},
    url = {http://matplotlib.org/}
}

@manual{Sage,
    Key          = {Sage},
    Author       = {W.\thinspace{}A. Stein and others},
    Organization = {The Sage Development Team},
    Title        = {{S}age {M}athematics {S}oftware},
    note         = {{\tt http://www.sagemath.org}},
}

@MISC{Enthought,
    title = {Enthought},
    note = {http://www.enthought.com/},
    url = {http://www.enthought.com/}
}

@MISC{Anaconda,
    title = {Anaconda},
    note = {http://continuum.io/},
    url = {http://continuum.io/}
}

@MISC{PythonXY,
    title = {PythonXY},
    note = {http://www.pythonxy.com},
    url = {http://www.pythonxy.com}
}

@MISC{SciPyInstallGithub,
    title = {SciPy Installation},
    note = {http://scipy.github.com/install.html},
    url = {http://scipy.github.com/install.html}
}

@MISC{PyDyGoogleGroup,
    title = {{PyDy} Mailing List},
    note = {https://groups.google.com/groups/pydy},
    url = {https://groups.google.com/groups/pydy}
}

@MISC{SymPyDocs,
    title = {SymPy Documentation},
    note = {https://docs.sympy.org},
    url = {https://docs.sympy.org}
}

@BOOK{Raymond1999,
  Author = {Eric Raymond},
  Title = {The Cathedral and the Bazaar},
  Year = {1999}
}

@MISC{SourceCode,
    title = {Source code for this paper},
    note = {https://github.com/gilbertgede/idetc-2013-paper},
    url = {https://github.com/gilbertgede/idetc-2013-paper}
}