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RECTANGULAR
PLATES - Natural Frequencies
Natural Frequencies of Rectangular Plate Bending Modes: plate.pdfThe Fundamental
Bending Frequency of a Plate with Fixed-Free-Fixed-Free Boundary
Conditions: fixed_free_fixed_free_plate.pdf
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RECTANGULAR PLATE - Fixed-Fixed-Fixed-Fixed PlateThe Fundamental Bending Frequency of a Plate with Fixed-Fixed-Fixed-Fixed Boundary Conditions: fixed_fixed_fixed_fixed_plate.pdfSteady-State
Vibration Response of a Plate Fixed on All Sides Subjected to a Uniform
Pressure: fixed_plate_uniform_pressure.pdf
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RECTANGULAR PLATES - Point-Supported at Each CornerThe
Fundamental Bending Frequency of a Square Plate with Fixed Corners and
Otherwise Free Edges (Point-Supported at Each Corner): square_plate_corners.pdf
The
Natural Frequency of a Rectangular Plate Point-Supported at Each
Corner: plate_point_corner.pdf
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RECTANGULAR PLATES - Base Excitation, Frequency Response Functions & Modal TransientResponse
of a Rectangular Plate to Base Excitation: plate_base_excitation.pdf integrate_function.m enter_time_history.m |
RECTANGULAR PLATES - Applied PressureThe steady-state response of a rectangular plate simply-supported on all sides to a uniform pressure: ss_plate_uniform_pressure.pdfThe steady-state response of a rectangular plate simply-supported on all sides to a pressure field with spatial variation: ss_plate_spatial_pressure.pdf Matlab scripts: ss_plate_uniform_frf.m ss_plate_spatial_frf.m Supporting functions: materials.m rectangular_plate_entry.m |
RECTANGULAR PLATES - Applied ForceNatural frequency of a rectangular plate simply supported on all sides including rotary inertia and shear deformation effects. Also, response to impulse force.Matlab Script: ss_plate_rotary_shear.m |
RECTANGULAR
PLATES - Large Deflections
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
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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
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HONEYCOMB
SANDWICH PLATES
Natural
Frequencies of Honeycomb Plates, includes Bending-Shear Transition: honeycomb.pdf
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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.
Lplates1.doc
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| THIN
PLATE VIBRATION
- FINITE ELEMENT METHOD - RECTANGULAR ELEMENTS - NORMAL MODES
Transverse Vibration of a Plate Via the Finite Element Method, Four-Node, Two-Dimensional Rectangular Elements: FEA_plate_bending.pdf Matlab Script: rectangular_plate_fea.m
rectangular_plate_apply_constraints.m materials.m Generalized_Eigen.m Generalized_Eigen_subspace.m progressbar.m rectangular_elements_plot_modes.m Alternate script with Optional Preprocessor for a Rectangular Plate: |
| THIN
PLATE VIBRATION
- FINITE ELEMENT METHOD - RECTANGULAR PLATE WITH RECTANGULAR ELEMENTS -
ENFORCED ACCELERATION OR BASE EXCITATION Matlab script: rectangular_plate_base_accel_fea.m Supporting functions: rectangular_plate_th_plot.m mdof_arbit_base_core.m ramp_invariant_filter_coefficients.m enter_time_history.m mdof_half_sine_core.m rectangular_plate_nodes_elements.m rectangular_plate_materials.m rectangular_plate_mass_stiff.m rectangular_plate_base_fea_post.m rectangular_plate_constraint_nodes.m rectangular_plate_drive_nodes.m add_column.m find_plot_limits.m find_max.m partition_matrices_accel.m partition_matrices_accel_frf.m Generalized_Eigen_fea.m Generalized_Eigen.m Generalized_Eigen_subspace.m progressbar.m |
| THIN
PLATE VIBRATION
- FINITE ELEMENT METHOD - TRIANGULAR ELEMENTS
Plate Bending Frequencies via the Finite Element Method with Triangular Elements: triangular_plate_bending_specht.pdf Matlab Script triangular_specht.m Supporting functions: triangular_plate_specht_integrated_terms.m triangular_plate_local.m triangular_specht_cbar.m materials.m Generalized_Eigen_semidefinite.m Generalized_Eigen.m progressbar.m honeycomb_materials.m pf_emm_fea_post1.m mode_shape_correction.m triangular_elements_plot_modes.m plate_materials_mass.m |
| THICK PLATE
BENDING VIBRATION
-
FINITE ELEMENT METHOD -
RECTANGULAR ELEMENTS A Four Node, Thick Rectangular Plate Bending Element: FEA_thick_rectangular_plate_bending.pdf A Four Node, Isoparametric Plate Bending Element Mass Matrix: iso_plate_bending_mass.pdf Jacobian Matrix & Determinant: Jacobian.pdf Matlab scripts: thick_rectangular_plate_fea.m thick_plate_mass_stiff.m materials.m Generalized_Eigen_semidefinite.m Generalized_Eigen.m progressbar.m Generalized_Eigen_subspace.m |
Software
Description
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Executable
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Source
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Natural
frequencies of beam modes, both lateral and longitudinal.
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beam.exe
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_
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Natural
frequencies of rectangular plates.
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plate.exe
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Natural
frequencies of circular plates.
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circular.exe
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Single-degree-of-freedom
System Natural Frequency.
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sdof_fn.exe
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Unit
conversion program.
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units.exe
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