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Structural Dynamics - Finite Element Method Page
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ACOUSTICS - FINITE ELEMENT METHOD
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BEAM VIBRATION - FINITE ELEMENT METHOD
Longitudinal Vibration of a Rod via the Finite Element
Method: rod_FEM_long.pdf
Longitudinal Vibration of a Tapered Rod via the Finite
Element Method: taper_rod_FEM_long.pdf
Transverse Vibration of a Beam via the Finite Element Method:
beam_FEM.pdf
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PLANE TRUSS VIBRATION - FINITE ELEMENT METHOD
Vibration of a Plane Truss: plane_truss.pdf
Matlab scripts:
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PLATE VIBRATION - FINITE ELEMENT METHOD Transverse
Vibration of a Plate Via the Finite Element Method, Four-Node,
Two-Dimensional Isoparametric Plate Element (unfinished): Plate_FEM_3.doc Matlab Script (unfinished): plate_FEM.m |
STRUCTURAL DYNAMICS - FINITE ELEMENT METHOD
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COMPONENT MODE SYNTHESIS & CRAIG-BAMPTON METHOD
Ulf Sellgren, Component Mode Synthesis - A Method for
Efficient Dynamic Simulation of Complex Technical Systems: CMS_wp5.pdf
Component Mode Synthesis, Fixed-Interface Model: component_mode_synthesis.pdf
Matlab
scripts: Load Transfer Matrix: LTM.pdf
Craig-Bampton Method for a Two Component System: CB_two_component.pdf Scott Gordon, The Craig-Bampton Method, NASA/Goddard Space
Flight Center: CraigBam.pdf
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EIGENVALUE PROBLEM
The Generalized Eigenvalue Problem: eigen.pdf
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ROTOR
DYNAMICS - FINITE ELEMENT METHOD
Lateral Natural Frequency of a Shaft Rotor System by the
Transfer Matrix Method: rotor.pdf
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APPLICATIONS
V.Hariharan, PSS.Srinivasan, Inertial and Vibration
Characteristics of a Cricket bat: cricket_bat.pdf
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MASS PROPERTIES Okuma,
Heylen, Sas, Identification of Rigid Body Properties of 3-D Frame Structure
by MCK Identification Method: ident_MCK.pdf Mass
Properties from a Finite Element Model: mass_properties_FEA.pdf |
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MODAL
GAIN FACTORS & AUTOPILOT STABILITY Modal Gain Factors in Launch Vehicle Autopilot Stability
Analysis: modal_gain_autopilot.pdf
Notes on Mode Shape and Bending Gain Units in Nastran: gain_units.pdf
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MISCELLANEOUS
Nastran_Theoretical_Manual.pdf (16 Mb) Polynomial Interpolation for Finite Element Analysis: interpolation.pdf
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EIGENVALUE SOFTWARE
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Eigenvalues of the generalized eigen problem where the
mass and stiffness matrices are symmetric with real coefficients. The eigenvalues
are determined by the Jacobi method.
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Jacobi.exe
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Jacobi.cpp
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The first eigenvalue and eigenvector via the inverse
iteration method.
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inverse_iteration.exe
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inverse_iteration.cpp
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Eigenvalues of the generalized eigen problem where the
mass and stiffness matrices are symmetric with real coefficients. The
eigenvalues are determined by calculating the roots of the determinant
polynomial. The upper limit is fourth order.
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eigen.exe
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Eigenvalues of the generalized eigen problem via the slicing
method, which is essentially the Sturm Sequence method.
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slice_eigenvalues.exe
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slice_eigenvalues.cpp
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QR Householder Decomposition of a
Matrix. |
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Matrix Inverse QR Householder
Decomposition. |
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Householder Tridiagonalization |
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Eigenvalues and eigenvectors of a two-degree-of-freedom
system.
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twodof.exe
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twodof.cpp
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Eigenvalues and eigenvectors of a three-degree-of-freedom
system.
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threedof.exe
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threedof.cpp
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Natural frequency of a rifle barrel with free-free
boundary conditions.
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rifle_frequency.exe
rifle.pdf
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rifle_frequency.cpp
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Natural frequency of a cantilever beam with an added point
mass at an arbitary point along the length of the beam.
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cantilever_with_mass.exe
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cantilever_with_mass.cpp
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Natural frequency of a cantilever tapered pipe with an
added point mass at its free end and with an applied axial tensile load its
free end.
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cantilever_mass_axial.exe
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cantilever_mass_axial.cpp
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Mass properties of a dynamic
system using Guyan reduction. i.e center of gravity and moments of inertia. |
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Mass properties of a dynamic
system using geometric rigid-body modes. i.e center of gravity and moments of
inertia |
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Unit conversion program.
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units.exe
DLL files:
mfc100u.dll
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Matlab Scripts
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Transfer Functions from
Modes |
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Mass properties of a dynamic
system using Guyan reduction. i.e center of gravity and moments of
inertia. The required inputs are the mass and stiffness matrices. |
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Mass properties of a dynamic
system using geometric rigid-body modes. The required inputs are a mass
matrix and the nodal coordinates. |
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Natural Frequencies and Mode Shapes of a Beam via the
Finite Element Method, with three degrees-of-freedom per node.
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beam.m
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Natural Frequencies and Mode Shapes of a Beam via the Finite Element Method with six degrees-of-freedom per node. The input file is a Nastran *.bdf or *.nas file generated
by Femap or some other preprocessor.
The beam elements may be in a three-dimensional frame. |
Functions: |
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Natural Frequencies and Mode Shapes of a Beam via the Finite Element Method with six degrees-of-freedom per node. It allows for the addition of a point mass.
The beam elements may be in a three-dimensional frame. |
Functions: User Guide |
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Additional scripts are given at: Matlab |
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NE/NASTRAN SOFTWARE UTILITIES
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NX
NASTRAN SOFTWARE UTILITIES
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MSC/NASTRAN SOFTWARE UTILITIES
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NASTRAN MODELS
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