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《Structural Vibration Qualification with Modal and Harmonic FEA》
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Structural Vibration Qualification with Modal and Harmonic FEA
30 Chapters
View Course Samples Online
01
Qualification context and scope
vibration environments, qualification vs. analysis, and the role of modal and harmonic FEA in structural certification.
Qualification
vibration
02
Governing equations of structural dynamics
mass, damping, and stiffness matrices; modal superposition; and harmonic response formulation.
Governing
equations
03
Modal analysis fundamentals
eigenvalue extraction, natural frequencies, mode shapes, and participation factors for qualification-relevant modes.
analysis
eigenvalue
04
Harmonic response analysis fundamentals
steady-state forced response, frequency sweep, and direct vs. modal superposition methods.
Harmonic
response
05
Damping modeling for qualification
viscous, structural, and modal damping; damping ratios from tests; and their effect on resonant response.
modeling
qualification
06
Finite element model setup for vibration qualification
geometry simplification, mesh density, element selection, and boundary conditions.
vibration
qualification
07
Material and mass modeling
elastic properties, density, temperature effects, and non-structural mass representation for accurate dynamics.
Material
modeling
08
Boundary conditions and connections
fixed, pinned, elastic supports, bolted and bonded joints, and their influence on modal and harmonic results.
Boundary
conditions
09
Pre-stress and geometric nonlinearity
prestressed modal analysis, stress stiffening, and when linear harmonic assumptions remain valid.
Pre-stress
geometric
10
Modal analysis solution setup
frequency range, number of modes, solver selection, convergence, and mode tracking for qualification.
analysis
solution
11
Harmonic response solution setup
frequency spacing, load application, sweep type, and output requests for qualification metrics.
Harmonic
response
12
Load definition for harmonic analysis
base excitation, force excitation, pressure, and acceleration PSD conversion to harmonic inputs.
definition
harmonic
13
Random vibration and PSD to harmonic equivalence
Miles' equation, 3-sigma response, and practical mapping to harmonic qualification cases.
vibration
PSD
14
Modal participation and effective mass
mode selection criteria, cumulative effective mass, and ensuring qualification-relevant modes are captured.
participation
effective
15
Frequency response functions (FRFs)
computing, interpreting, and validating FRFs against test data for qualification.
Frequency
response
16
Resonance identification and avoidance
Campbell diagrams, mode veering, and design modifications to shift frequencies away from excitation.
Resonance
identification
17
Response metrics for qualification
displacement, velocity, acceleration, stress, and force; peak vs. RMS; and margin assessment.
Response
qualification
18
Stress and fatigue from harmonic response
dynamic stress recovery, stress concentration, and fatigue life estimation under vibration.
harmonic
response
19
Model validation and correlation
modal test data, FRF correlation, MAC, and updating FE models for qualification confidence.
validation
correlation
20
Uncertainty and variability
material scatter, boundary condition uncertainty, and sensitivity analysis for robust qualification.
Uncertainty
variability
21
Qualification to standards
MIL-STD-810, NASA-STD-7001, IEC 60068, and aerospace/automotive vibration qualification requirements.
Qualification
standards
22
Sine sweep and sine dwell testing
test setup, control strategies, and correlation with harmonic FEA predictions.
strategies
correlation
23
Random vibration testing
PSD input, response limiting, and comparison with harmonic and modal FEA results.
vibration
PSD
24
Shock and transient vibration
SRS, shock response spectrum, and when harmonic FEA is insufficient for qualification.
transient
vibration
25
Acoustic and high-frequency vibration
statistical energy analysis (SEA) vs. FEA, and hybrid approaches for qualification.
Acoustic
high-frequency
26
Case study
modal and harmonic FEA of an electronics enclosure for aerospace vibration qualification.
harmonic
FEA
27
Case study
automotive component qualification using modal and harmonic FEA with base excitation.
automotive
component
28
Case study
qualification of a rotating machinery support structure using modal and harmonic FEA.
qualification
rotating
29
Practical workflow
from CAD to qualification report; automation, scripting, and documentation for modal and harmonic FEA.
workflow
CAD
30
Emerging trends and advanced topics
nonlinear vibration, model reduction, digital twins, and machine learning for vibration qualification.
Emerging
advanced
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同VIP:CAE-Verification-Validation-and-Sim