Examples#
Executed galleries built from the scripts under examples/<domain>/. Download source or notebooks from each example.
Structures and Machines
Members, sections, beams on any supports, columns, stress and strain at a point, pressure vessels, energy methods, trusses, frames, cables and arches.
Rigid-body motion, Lagrange’s equations, machine elements, mechanisms, cams and multi-degree-of-freedom vibration.
Energy and Flow
Ideal and real gases, mixtures, the two laws, steady-flow devices, engine and refrigeration cycles, exergy, steam properties, psychrometrics and combustion.
Hydrostatics, flow measurement, momentum, pipe friction, drag, similarity, open channels, pumps and networks.
Conduction, convection, radiation, fins and heat exchangers.
Airfoil and wing baselines, drag polars and compressible flow.
Circuits, Signals and Control
DC and AC circuits, transients, electronics, machines and power systems.
Classical stability, compensator design, PID with anti-windup, nonlinear loops, state feedback, LQR and estimation.
Sampling and rate conversion, the FFT and DCT, spectra and AR models, IIR and FIR design, adaptive filters.
Modulation and pulse shaping, noise, capacity, detection, PCM, source and channel coding, fading and link budgets.
Materials and Reliability
Crystals and diffusion, elastic constants, hardness, yield criteria, composites and laminates, fatigue and notches, fracture, creep and dislocation plasticity.
Lifetimes and life data, accelerated testing, networks, structural reliability, FMEA, fault trees and maintenance.
Tutorials, exercises and model guides#
Tutorials follow one problem across several domains, and Exercises give a problem set per domain with worked solutions.
- Tutorials
- Exercises
- Installation and quickstart
- Numerical methods and inspectable histories
- Structural engineering: loads, signs and linear elasticity
- Mechanical engineering: power, vibration and mechanism geometry
- Thermodynamics: total versus specific quantities and cycle states
- Fluid engineering: flow regimes and signed quantities
- Heat transfer: absolute temperatures and resistance accounting
- Aerodynamics: incompressible limits and compressible conservation
- Electrical engineering: passive components and circuit responses
- Control systems: matrix contracts and numerical stability
- Signal processing: sampled energy, spectra and quantization
- Communications: linear ratios, modulation phase and channel scope
- Materials: structure, elasticity, yield, fatigue, fracture and creep conventions
- Reliability: distributions, independence and rate units