Expert-level machine design covering shafts, bearings, gears, fasteners, springs, clutches, brakes, and mechanical power transmission systems.
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Stress analysis: combined bending, torsion, axial loading. ASME shaft equation: includes stress concentration, fatigue, and combined loading. Deflection: check shaft deflection limits for gear and bearing alignment. Critical speed: rotor dynamics, avoid operating near resonance. Keys and keyways: transmit torque, stress concentration factor required.
Rolling element: ball, roller, tapered roller, needle, angular contact. Life rating: L10 life, 90% of bearings survive to rated life. Dynamic load rating: C value from catalog, P is equivalent dynamic load. Lubrication: grease for sealed bearings, oil for high speed or high temperature. Hydrodynamic journal bearings: oil film supports shaft, no contact at operating speed.
Spur gears: parallel axes, simple manufacture, noisy at high speed. Helical gears: angled teeth, smoother and quieter, thrust force generated. Gear tooth strength: Lewis equation for bending stress at tooth root. Contact stress: Hertz contact, pitting failure mode. Gear ratio: input to output speed ratio, inversely proportional to tooth count.
Bolt preload: clamping force created by tightening, prevents joint separation. Joint diagram: shows bolt and member stiffness, determines load sharing. Fatigue of bolts: preload reduces fatigue load range seen by bolt. Torque-tension relationship: T = K times F times d, K is nut factor.
| Pitfall | Fix |
|---|---|
| Ignoring fatigue for cyclic loads | Static analysis insufficient for repeated loading |
| Wrong bearing selection for combined loads | Use equivalent dynamic load calculation |
| Insufficient bolt preload | Preload must exceed external separating force |
| Gear interference | Check contact ratio and minimum tooth count |
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Expert-level abstract algebra knowledge. Use when working with groups, rings, fields, modules, Galois theory, representation theory, or algebraic structures. Also use when the user mentions 'group', 'ring', 'field', 'homomorphism', 'isomorphism', 'normal subgroup', 'quotient group', 'Sylow theorem', 'Galois theory', 'polynomial ring', 'ideal', 'module', 'vector space', or 'representation theory'.
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Expert-level acoustics knowledge. Use when working with sound waves, acoustic propagation, resonance, standing waves, Doppler effect, room acoustics, ultrasound, noise control, musical acoustics, or architectural acoustics. Also use when the user mentions 'sound wave', 'decibel', 'frequency', 'resonance', 'standing wave', 'Doppler effect', 'acoustic impedance', 'reverberation', 'ultrasound', 'noise control', 'harmonics', or 'sound intensity'.
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Expert-level aerodynamics covering subsonic and supersonic flow, lift and drag, airfoil theory, boundary layers, compressible flow, and CFD methods.
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Expert-level air quality engineering covering pollutant sources, atmospheric dispersion, air quality standards, emission controls, and air quality modeling.
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Expert-level aircraft structures covering structural design philosophy, wing and fuselage analysis, fatigue and damage tolerance, composite structures, and certification.
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Expert-level algorithms and complexity theory covering sorting, searching, graph algorithms, dynamic programming, greedy algorithms, NP-completeness, and algorithm design paradigms.
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