|Kurt S. Anderson
Associate Dean for Undergraduate Studies
Professor of Mechanical Engineering, Aerospace Engineering & Mechanics
3018 Jonsson Engineering Center
Tel: (518) 276-2339; Fax: (518) 276-4860;
After receiving his BS degree in mechanical engineering from
the University of California at Berkeley in 1982, Dr. Anderson went on
to earn a MS in the area of dynamic systems and control from the same
institution. He then spent the next few years working in the
areas of dynamics, structural dynamics, and controls for TRW Space and
Technology in Redondo Beach, California. After this period, he entered
the Ph.D. program in Applied and Computational Mechanics at Stanford
University, earning his degree in 1990. Dr. Anderson then accepted a
position as researcher and principal dynamics engineering at TRW where
he was associated with various spacecraft and research programs. In
late 1991 Dr. Anderson was invited to Germany for a two-year period as
a visiting scholar, lecturer, and research fellow at the Technische
Hochscule - Darmstadt. In 1993 he joined the faculty of the Department
of Aerospace Engineering, Applied Mechanics, and Aviation at The Ohio
State University, in Columbus where he remained until coming to RPI as
faculty member in August 1995.
Dr. Anderson is a member of the American Academy of Mechanics
(AAM), the American Institute of Aeronautics and Astronautics
(AIAA), the American Society of Automotive Engineers (SAE), the American
Society of Mechanical Engineers (ASME), the US Association of
Computational Mechanics (USACM), the American Society of
Engineering Education (ASEE), Tau Beta Pi, Pi Tau Sigma, Phi
Beta Kappa, and Sigma Xi.
Research Interests and Activities
Professors Anderson's primary research goals are associated with
development of advanced algorithms for modeling, simulating, and
analyzing the behavior of complex dynamic systems. Examples of such
systems include, but are not limited to, molecular dynamic systems,
spacecraft, robotic systems, automotive applications, the human body,
and manufacturing operations. These analysis and simulation tools
emphasize the use of algorithms which obtain the desired accuracy,
while requiring far fewer computational operations than their more
traditional counterparts. This results in simulations which run much
more quickly, or equally important, allows a level modeling and
analysis which would otherwise be prohibitively expensive. This is a
accomplished through the use of special low operational order
algorithms, multirate temporal integration methods, adaptive models
and intelligent exploitation of parallel computing.
The general areas of research being pursued in the Computational
Dynamics Laboratory at Rensselaer emphasize the research,
development and application of multiscale adaptive methods for the
modeling and analysis of complex dynamic systems, as wells virtual
protyping tools involving complex, yet efficient multibody (rigid and
flexible) dynamics simulations in multidisciplinary design, analysis,
and optimization. Specific problems being investigated include:
Development of highly efficient parallelizable algorithms for general
molecular and multibody systems; Determination of the optimal form of
the equations of motion (in the sense of maximizing simulation speed)
for a complex multibody system when available computer resources have
sub-optimal numbers of processors; Automated determination of design
parameter values which yield near optimal design performance of complex
mechanism from a dynamics point of view; Development of methods for
producing design sensitivity information at a greatly reduced cost;
Multi-Rate temporal integration schemes; Simulation, Design and Control
of MEMS devices; Advanced material modelling; Molecular systems;
Biomechanical modeling; Multi-continuous body modeling of the dynamic
behavior of translating media (e.g. drive belts, tracks and tracked
Other Items of Interest:
(Publications marked in red are available
in a .pdf format. If you do not have a .pdf reader you can get a free
viewer from Adobe®)
M. Poursina, K.S. Anderson, "Canonical Ensemble Simulation of Biopolymers Using A Coarse-Grained Articulated Generalized Divide-And-Conquer Scheme," Computer Physics Communications , accepted .
M. Poursina, K.S. Anderson, "Efficient Coarse-Grained Molecular Simulations in a Multibody Dynamics
Scheme" Book contribution to Computational Methods in Applied Sciences: Multibody Dynamics,
edited by P. Fisette, Springer Publishing, in press.
M. Poursina, K.S. Anderson, "Long-range force-field calculations in multiresolution simulation of molecular systems," Journal of Computational Physics, vol. 231, No. 21, pp. 7237-7254, 2012.
M. Poursina, Imad Khan, K.S. Anderson, "Efficient Model Transition in Adaptive Multiresolution Modeling of Biopolymers," Book contribution to Linear Algebra Theorems and Applications , edited by
H. A. Yasser, INTECH Publishing, pp. 237-250, 2012.
M. Poursina, K.S. Anderson, "An Extended Divide-And-Conquer Algorithm For a Generalized Class of Multibody Constraints," Multibody System Dynamics, DOI 10.1007/s11044-012-9324-9, 2012.
K.D. Bhalerao, J. Critchley and K.S. Anderson, "An efficient parallel dynamics algorithm for simulation of large articulated robotic systems," Mechanism and Machine Theory, doi:10.1016/j.mechmachtheory.2012.03.001, vol. 53, pp. 86-98, 2012.
M. Poursina, K.D. Bhalerao, S.C. Flores, K.S. Anderson and A.Laederach, "Strategies for Articulated Multibody-Based Adaptive
Coarse Grain Simulation of RNA",
Book Chapter - Methods in Enzymology, 2011, 487:73-98.
K.D. Bhalerao, C. Crean and K.S. Anderson, "Hybrid complementarity formulations for robotics applications," Zeitschrift fŸr Angewandte Mathematik und Mechanik, doi: 10.1002/zamm.201000093, vol. 91(5), pp. 386-399, 2011.
K.D. Bhalerao, and K.S. Anderson, "Modeling Intermittent Contact for Flexible Multibody-Rigid-Body Dynamics",
ASME Journal of Computational and Nonlinear Dynamics, -doi:10.1007/s11071-009-9580-2, Vol 60(1-2), pp. 63-79 2010
K.D. Bhalerao, M. Poursina and K.S. Anderson, "An Efficient Direct Differentiation Method
for Sensativity Analysis of Flexible Multibody Systems",
Multibody Systems Dynamics, -doi:10.1007/s11044-009-9176-0, Vol. 23(3), pp. 121-140, 2010
- S. Berard, J.C. Trinkle, K.S. Anderson, "Sources of Error in a Simulation of Rigid Parts on a Vibrating Rigid Plate," ASME Journal of Computational and Nonlinear Dynamics, Vol. 5, No. 4, doi:10.1115/1.4001820 , 2010.
K.D. Bhalerao, K.S. Anderson and J.C. Trinkle, "A Recursive Hybrid Time-Stepping Scheeme for Intermittent
Contact in Multi-Rigid-Body Dynamics",
ASME Journal of Computational and Nonlinear Dynamics, -doi:10.1115/1.3192132,Vol 4(4), 2009
C.G. Ballard, K.S. Anderson and L.N. Myrabo, "Flight Dynamics Simulation of Lightcraft Propelled
by Laser Ablation", ASME Journal of Computational and
Nonlinear Dynamics, Vol. 4(4) 2009
J.H. Critchley, A. Binani, and K.S. Anderson, "Design and Implementation of an Efficient
Multibody Divide and Conquer Algorithm", ASME Journal of Computational and
Nonlinear Dynamics, Vol. 4(2) March 2009
R.M. Mukherjee,P.S. Crozier, S.J. Plimpton, and K.S. Anderson, " Substructured Molecular Dynamics Using
Multibody Dynamics Algorithms", International Journal of
Nonlinear Mechanics - Nonlinear Mechanics and Dynamics of
Macromolecules, Vol. 43(10), pp. 1040-1055, December 2008
R.M. Mukherjee and K.S. Anderson, " Efficient
Methodology for Multibody Simulations With Discontinuous Changes in
System Definition", Multibody Systems Dynamics, Vol. 18,
No. 2, pp. 145-168, September, 2007.
R.M. Mukherjee, K.D. Bhalerao and K.S. Anderson " A
Divide and Conquer Direct Differentiation Approach for Multibody
Systems Sensitivity Analysis ", Structural and
Multidisciplinary Optimization, Available online at
http://www.springerlink.com, Paper DOI10.1007/s00158-007-0142-2, 2007.
R.M. Mukherjee and K.S. Anderson " An
Orthogonal Complement-Based Divide-and-Conquer Algorithm for
Constrained Multibody Systems ", Nonlinear Dynamics,
Vol. 48, No. 1-2, pp. 199-215, April, 2007.
R.M. Mukherjee and K.S. Anderson " A
Logarithmic Complexity Divide-and-Conquer Algorithm for Multi-Flexible
Articulated Body Systems ", ASME Journal of Computational
and Nonlinear Dynamics, Vol. 2, No. 1, pp. 10-21, 2007.
K.S. Anderson, R. Mukherjee, J.H. Critchley, J.L. Ziegler, and S.R.
Lipton " POEMS: Parallelizable
Open-source Efficient Multibody Software ", Engineering
With Computers, Vol. 23,No. 1, pp. 11-23, 2007.
M. Oghbaei and K.S. Anderson, " A New Time-Finite-Element
Implicit Integration Scheme for Multibody System Dyanmics Simulation ", Computer
Methods in Applied Mechanics and Engineering, Vol. 195, pp.
K.S. Anderson and M. Oghbaei, " A
Dynamics Simulation of Multibody Systems Using a New State-Time
Methodology ", Multibody Systems Dynamics, Vol. 14, pp.
K.S. Anderson and M. Oghbaei, " A
State-Tme Formulation for Dynamic Systems Simulation Using Massively
Parallel Computing Resources ", Nonlinear Dynamics,
Vol. 39, pp. 305-318, 2005
O. Gundogdu, K.S. Anderson, and M. Parnianpour, "
Simulation of Manual Materials handling:
Biomedcial Assessment Under Different Lifting Conditions", Health
and Technology, Vol. 13, pp. 57-66, 2005.
O. Gundogdu, M. Parnianpour, and K.S. Anderson, "
Development of a Genetic Algorithm Based
Biomedical Simulation of Sagittal Lifting Tasks", Biomedical
Engineering, Vol. 17, No. 1, pp. 12-19, 2005.
J.H. Critchley and K.S. Anderson , " Parallel Logarithmic Order Algorithm
for General Multibody System Dynamics ", Journal of
Multiscale Computational Engineering, Vol. 12, No. 1, pp. 75-93,
K.S. Anderson and Y.H. Hsu "Order(n+m)" Direct
Differentiation Determination of Design Sensitivity for Constrained
Multibody Dynamic Systems", Structural and Multidisciplinary
Optimization, Vol 26, No. 3-4, pp. 171-182, February 2004. abstract
J.H. Critchley and K.S. Anderson , "A
Generalized Recursive Coordinate Reduction Method for Multibody Dynamic
Systems", Journal of Multiscale Computational Engineering,
Vol. 1, No. 2, pp. 181-200, 2003
K.S. Anderson and J.H. Critchley, " Improved Order-n Performance
Algorithm for the Simulation of Constrained Multi-Rigid-Body Systems", Multibody
Systems Dynamics, Vol. 9, pp.185-212, 2003.
Y.H. Hsu and K.S. Anderson, " Recursive Sensitivity Analysis for
Constrained Multi-rigid-body Dynamic Systems Design Optimization", Structural
and Multidisciplinary Optimization, Vol. 24, No. 4, pp. 312-324,
October 2002. abstract
K.S. Anderson and Y.H. Hsu, "Analytical Full-Recursive Sensitivity
Analysis for Multibody Chain Systems", Multibody Systems
Dynamics, Vo. 8, No. 1, pp. 1-27, 2002. abstract
K.S. Anderson and Y.H. Hsu, "Domain Approximation and
Deterministic Progression in Genetic Crossover", Engineering
Optimization, Vol. 33, pp. 683-706, 2001 abstract
Y.H. Hsu and K.S. Anderson, "Low Operational Order Analytic
Sensitivity Analysis for Tree-Type Multibody Dynamic Systems",
AIAA Journal of Guidance, Control and Dynamics, Vol. 24, No. 6.
pp. 1133-1143, December 2001.
O. Kopmaz and K.S. Anderson, "On the Eigenfrequencies of a
Flexible Arm driven by a Flexible Shaft", Journal of Sound and
Vibrations, Vol. 240, no.4, pp 679-704, 2001. abstract
K.S. Anderson and S. Duan, "Highly Parallelizable Low Order
Dynamics Algorithm for Complex Multi-Rigid-Body Systems", AIAA
Journal of Guidance, Control and Dynamics. Vol. 23, No. 2,
March-April, 2000, pp. 355-364.
K.S. Anderson and S. Duan, "Parallel Implementation of a Low Order
Algorithm for Dynamics of Multibody Systems on a Distributed Memory
Computing System", journal Engineering with Computers, Vol.
16, No. 2, 2000, pp 96-108. abstract
K.S. Anderson and S. Duan, "A Hybrid Parallelizable Low Order
Algorithm for Dynamics of Multi-Rigid-Body Systems: Part I, Chain
Systems", journal Mathematical and Computer Modelling vol.
30, 1999, pp. 193-215. abstract
K.S. Anderson and Gundogdu. "Optimal Trajectory Determination for
Sagitally Symmetric Manual Lifting Tasks", journal Mathematical
& Computational Applications, Vol. 4, No.2, pp.169-174, 1999.
K.S. Anderson, "Efficient Modeling of General Multibody Dynamic
Systems with Flexible Components", Computational Dynamics in
Multibody Systems, Editors: M.S. Pereira, and J.A.C. Ambrosia,
Kluwer Academic Press, Dordrecht, The Netherlands, 1995.
K.S. Anderson, P. Hagedorn, "On the Energy Dissipation in
Spacer-Dampers in Bundled Conductors of Overhead Transmission
Lines," Journal of Sound and Vibration, Vol. 180, Nr. 4,
pp. 539-556, 1995.
K.S. Anderson, P. Hagedorn, "On the Control of Orbital Drift of
Geostationary Tethered Satellites", AIAA Journal of Guidance,
Control, and Dynamics, Vol. 17, Nr. 1, pp. 10-16, 1994.
K.S. Anderson, "An Efficient Formulation for the Modeling of
General Multi-Flexible-Body Constrained Systems", International
Journal of Solids and Structures, Vol. 30, No. 7, pp. 921-945, 1993
K.S. Anderson, "An Efficient Modeling of Constrained Multibody
Systems for Application with Parallel Computing", Zeitschrift
für Angewandte Mathematik und Mechanik, Vol. 73, No. 6, pp.
K.S. Anderson, "An Order-N Formulation for the Motion Simulation
of General Constrained Multi-Rigid-Body Systems", journal Computers
and Structures, Vol. 43, Nr. 3, pp. 565-579, 1992.
K.S. Anderson, "An Order-N Formulation for the Motion Simulation
of General Multi-Rigid-Body Tree Systems", journal Computers
and Structures, Vol. 46, Nr. 3, pp. 547-559, 1991.
O. Kopmaz and K.S. Anderson, "Identification of Nodal and
Antinodal Lines Locations of Plates with Virtual Elements", Journal
of Mathematical Modeling and Scientific Computing, vol.