Structural Vibration & Seismic Analysis

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Abstractions about characterizing vibration and ground motion in structures, covering modal and frequency-response analysis (Bode plots, FEM modal analysis, statistical energy analysis), seismic and dynamic-response measures (Arias intensity, long-period ground motion, seismic analysis), and forced-response methods like Duhamel's integral.

12 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

• Arias intensity — A seismic ground-motion measure proportional to the time integral of squared acceleration.
• Autowave — A self-sustaining nonlinear wave that propagates through an active medium supplied with distributed energy.
• Bode plot — A paired logarithmic-frequency display of a linear system’s frequency-response magnitude and phase.
• Duhamel's Integral — Compute the zero-initial-condition response of a linear time-invariant vibration system to an arbitrary load history by causally convolving that load with the system's impulse response.
• Dynamic Amplification Factor — A ratio comparing a specified peak dynamic structural response with its matched static or steady reference response.
• Harmonic tremor — A sustained seismic or infrasonic signal with narrow spectral bands or overtone-like peaks, often associated with volcanic fluid motion but also generated by nonvolcanic repetitive sources.
• Impulse vector — A phasor-like graphical representation of an input-shaper impulse's amplitude, phase and residual-vibration contribution, used to construct sequences whose vectors cancel.
• Long-period ground motion — Low-frequency earthquake ground motion with periods long enough to strongly excite flexible tall, long-span or base-isolated structures.
• Modal analysis using FEM — A finite-element eigenanalysis that estimates a structure's natural frequencies and corresponding deformation mode shapes from assembled mass and stiffness models.
• Operational modal analysis — A system-identification method that estimates a structure’s natural frequencies, damping and mode shapes from output-only vibration data under unmeasured ambient or operating excitation.
• Seismic Analysis — Modeling and calculating a structure's forces, deformations, accelerations, and damage-sensitive demands under earthquake ground motion using a code-appropriate static or dynamic procedure.
• Statistical energy analysis — A high-frequency vibroacoustic modeling method that represents a complex structure as coupled subsystems exchanging average modal energy.