Mass Matrix Formulation

Mass Matrix Formulation is a mathematical framework within computational mechanics that defines the distribution of inertial properties in a discretized dynamic system by constructing a matrix that relates nodal accelerations to generalized forces in finite element dynamics, distinguished from other formulations by its specific representation of mass distribution and coupling effects in both deformable and rigid body motion.

221

Publications

12.3K

Citations

422

Authors

260

Institutions

Publications per year

2017–2026

Parents

Dynamic Finite Element AnalysisFinite Element DiscretizationFinite Element DynamicsFinite Element FormulationRigid Body Dynamics

Publications

221

Reduction of stiffness and mass matrices

R. J. Guyan · AIAA Journal · 1965 · 2.6K citations · Full text

Engineering, Materials Science, Applied Mechanics +4

Mass matrix models: the sequel

Miriam Leurer, Yosef Nir, Nathan Seiberg · Nuclear Physics B · 1994 · 401 citations · Full text

Natural Sciences, Mathematics, Physics +4

Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Implementation and Applications

R. Y. Yakoub, Ahmed A. Shabana · Journal of Mechanical Design · 2000 · 316 citations

Engineering, Manufacturing Engineering, Mechanical Engineering +17

Neutrino mass operator renormalization revisited

Physics Letters B · 2001 · 259 citations · Full text

Natural Sciences, Physics, Mathematical Physics +12

Realistic Eigenvalue Bounds for the Galerkin Mass Matrix

Andy Wathen · IMA Journal of Numerical Analysis · 1987 · 237 citations

Computing, Computational Engineering, Mathematics +16

1–5 of 221

Authors

422

AA
Ahmed A. Shabana
University of Illinois Chicago, United States
5 publications · 740 citations
5
h-index
JB
J. Bordes
Universitat de València, Spain
4 publications · 51 citations
4
h-index
TS
Tsou Sheung Tsun
Rutherford Appleton Laboratory, United Kingdom
3 publications · 40 citations
3
h-index
CH
Chan Hong-Mo
Rutherford Appleton Laboratory, United Kingdom
3 publications · 40 citations
3
h-index
AJ
Abhinandan Jain
Jet Propulsion Laboratory, United States
3 publications · 296 citations
3
h-index

1–5 of 422

Institutions

260

1–8 of 260

Venues

International Journal for Numerical Methods in Engineering
26 publications · 1.3K citations
20
h-index
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
11 publications · 289 citations
11
h-index
Computer Methods in Applied Mechanics and Engineering
11 publications · 311 citations
11
h-index
Physics Letters B
9 publications · 552 citations
9
h-index
AIAA Journal
8 publications · 3K citations
8
h-index

1–5