STRUCTURAL DYNAMICS - DISCRETE SYSTEMS - SDOF
Free Vibration of a Single-Degree-of-Freedom System: free.pdf
The Response of a Single-Degree-of-Freedom System to Excitation from Random Surface Irregularities. (The input function may be a spatial power spectral density). random_surface.pdf
|
STRUCTURAL DYNAMICS - DISCRETE SYSTEMS - MDOF
Free Vibration of a Two-Degree-of-Freedom System Subjected to Initial Velocity and Displacement: twodof_initial.pdf
The Generalized Coordinate Method for
Discrete Systems: gencoord.pdf
The Generalized Coordinate Method for Discrete Systems Subjected
to Base Excitation: genbase.pdf
Shock Response of Multi-degree-of-freedom
Systems: mdof_srs.pdf
Effective Modal Mass & Modal Participation
Factors: ModalMass.pdf
Mass Loading Effects for Heavy Equipment and Payloads: mass_loading.pdf
Matlab script: mass_loading.m
|
STRUCTURAL DYNAMICS - DISCRETE SYSTEMS - MDOF - Natural Frequencies
Sample Lateral Natural Frequency Calculations
for a Space Vehicle/Dispenser Analysis: lateralSV.pdf
|
STRUCTURAL DYNAMICS - DISCRETE SYSTEMS - MDOF - Arbitrary Excitation
Modal Transient Response to Arbitrary Base Excitation via Convolution: modal_transient_arbitrary.pdf
Multi-degree-of-freedom System Subjected to an Arbitrary Force: mdof_arbit_force.pdf
|
STRUCTURAL DYNAMICS - DISCRETE SYSTEMS - MDOF - Steady-State FRF
The Steady-State Frequency Response Function of a Multi-degree-of-freedom System Subjected to Harmonic Base Excitation: mdof_FRF_base.pdf
The Steady-State Frequency Response Function of a Multi-degree-of-freedom System Subjected to Harmonic Force Excitation: mdof_FRF_force.pdf
The Steady-State Frequency Response Function of a Four-degree-of-freedom System Subjected to Harmonic Force Excitation: force_dof_FRF_force.pdf
|
SEMI-DEFINITE SYSTEMS
Free Vibration of a Semi-definite System Subjected to Initial Conditions: semi_initial.pdf
|
SPRING SURGE
|
CIRCULAR & ANNUAL PLATES
Natural Frequencies of Circular Plate Bending Modes: circular.pdf
The Fundamental Frequency of an Isolated Circular Plate: circular_elastic.pdf
The Fundamental Frequency of an Isolated Annular Plate: annular_elastic.pdf
Kang, Huang & Knowles, Torsional Vibrations of Circular Elastic Plates with Thickness Steps: circular_torsion.pdf
Launch Vehicle Bulkhead Flight Accelerometer Data: flight_bulkhead.pdf
|
RECTANGULAR PLATES
Natural Frequencies of Rectangular Plate
Bending Modes: plate.pdf
The Fundamental Bending Frequency of a Plate with Fixed-Free-Free-Free Boundary Conditions: cantilever_plate.pdf
Samuel Levy, Square Plate with Clamped
Edges Under Normal Pressure Producing Large Deflections: NACA-TN-847.pdf
Samuel Levy & Samuel Geenman, Bending with Large Deflection of a Clamped Rectangular Plate with Length Width Ratio of 1.5 under Normal Pressure: NACA-TN-853.pdf
Eric Reissner & Manuel Stein, Torsion and Transverse Bending of Cantilever Plates: naca-tn-2369.pdf
|
RIGID RECTANGULAR PLATE OR FRAME
Modal Transient Response to Arbitrary Base Excitation via Convolution: modal_transient_arbitrary.pdf
Vibration Response of a Rigid Rectangular Plate or Frame Mounted on Four Springs: frame_modes.pdf
Vibration Response of a Rigid Rectangular Plate or Frame Subjected to Multiple Base Inputs: frame_modes_base.pdf
Matlab Scripts
Normal Modal Analysis: plate_4.m
Modal Transient Analysis for Base Excitation: plate_k2_base.m
|
HONEYCOMB SANDWICH PLATES
Natural Frequencies of Honeycomb Plates, includes Bending-Shear Transition: honeycomb.pdf
FEA Model 1: annular_bulkhead.nas
|
LEISSA PLATES
Arthur W. Leissa, NASA SP-160, Vibration of Plates. Note that these are large files. The total file size is approximately 250 Mb. The format is MS Word with scanned images.
Alternate:
|
Software Description
|
Executable
|
Source
|
Natural frequencies of beam modes, both
lateral and longitudinal.
|
|
_
|
Beam mode animation via setup file.
|
|
_
|
Natural frequencies of rectangular plates.
|
|
_
|
Natural frequencies of circular plates.
|
|
_
|
Single-degree-of-freedom System Natural
Frequency.
|
|
_
|
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.
|
|
|
The first eigenvalue and eigenvector via
the inverse iteration method.
|
|
|
Eigenvalues of the generalized eigen problem
via the slicing method, which is essentially the Sturm Sequence
method.
|
|
|
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.
|
|
_
|
Eigenvalues and eigenvectors of
a two-degree-of-freedom system.
|
|
|
Eigenvalues and eigenvectors of a three-degree-of-freedom
system.
|
|
|
Holzer method for torsional systems.
|
|
|
Modal solution for torsional vibration
of free-free shaft with three disks.
|
|
|
Ring frequency for a cylindrical structure.
|
|
|
Force transfer function for a single-degree-of-freedom
system.
|
|
|
Base excitation transfer function for
a single-degree-of-freedom system.
|
|
|
Free Vibration of a Two-Degree-of-Freedom System Subjected to Initial Velocity and Displacement
|
|
|
Natural frequencies of the transverse vibration of a fixed-fixed string.
|
|
|
Mass Loading Attenuation Factor for Heavy Equipment and Payloads
|
|
|
Unit conversion program.
|
|
|
