Title-page byline: David G.Lewicki, Nicholas A.Lambert and Robert S.Wagoner, April2015. Printed p.21, equations(1)–(2), explains rotating-sensor sidebands at1957±103Hz; Figure20, printed p.23, compares radial and tangential channels.

Printed pp. 1–5 identify the author affiliations, test objective and notched pinion; Figure 7, printed p. 7, and “MEMS Results”, printed p. 19, give the radial/tangential sensor layout and channel combinations. Printed pp. 24–25 compare reconstructed and measured rotation timing for synchronous averaging; Conclusions, printed p. 30, point 5, states the limited interval between detection and actual tooth fracture.

Author-organization-hosted version: first-page bylines are David G. Lewicki, Nick Lambert and Robert Wagoner. The formal NASA report uses Nicholas A. Lambert and Robert S. Wagoner. These parallel versions establish abbreviated byline variants without supplying fuller middle names.

Manufacturer Product Data BP0244, printed pp.1–2: piezoelectric force/acceleration sensors sharing a housing and mounting point, separate channels, Figure2 construction, and mass-compensation guidance. Printed p.2 footnote distinguishes raw accelerance/dynamic mass from mobility/impedance and requires acceleration integration or post-processing for the latter.

Journal of Sound and Vibration329,3182–3202(2010). Primary title page gives full bylines Fai Ma, Matthias Morzfeld and Ali Imam, with UC Berkeley Mechanical Engineering affiliation. Abstract and Introduction describe nonoscillatory free vibration, forced vibration and a time-varying decoupling transformation accounting for both modal damping and forcing effects.

Archive for Rational Mechanics and Analysis45,321–351(1972), Part I: General Theory. General storage/supply dissipation inequality and the available-storage construction as recoverable net supply; the paper also discusses power-neutral interconnections. Primary author publication list: homes.esat.kuleuven.be/~sistawww/smc/jwillems/Publications.html . The author's university homepage and curriculum identify Jan C.Willems.

Manufacturer publication BR0458 by Ole Døssing, Brüel & Kjær; title page states Revision April1988. Printed p.16, mobility definitions; pp.14–25, frequency response, estimators and errors; pp.30–32, response transducers and driving-point arrangements; p.43, measurement calibration. Printed page numbers match PDF zero-based page indices in this file.

Journal of Sound and Vibration324,408–428(2009); title page gives full bylines Fai Ma, Ali Imam and Matthias Morzfeld and their Mechanical Engineering, UC Berkeley affiliation. Sections2.1–2.2, modal transformation and classical damping, including equation(12), the commutation criterion; section3.1, equation(14), the damped quadratic eigenvalue problem. Repository metadata and article title page agree on authors and publication year.

“Gear Efficiency” subsection: stage efficiency is a reference value depending on motor torque and speed, with a significant decrease at lower torque. Mechanical losses include gear meshing and rotating-support friction; the three-stage example multiplies0.9 by itself three times. “Gearheads” supplies the speed-reduction context.

Manufacturer technical reference, §3.1, definition of pressure angle as the angle between the line of action and a perpendicular to the line of centers. The line of action is the common tangent to the base circles. The corresponding current manufacturer page is shop.sdp-si.com/products/gears-differentials-pinions-racks/spur-gear-technical-information.html .

Elements of Metric Gear Technology, §7.3, equation(7–8), printed T-60: helical-gear axial thrust equals transmitted tangential load times the tangent of helix angle. Figure7-1 relates thrust direction to gear hand and rotation.

D815 technical section, §11, Table11-3, “Axial (Overlap) Contact Ratio”, printed T-111: helical overlap ratio is face width times sine of helix angle divided by normal circular pitch. This indexed manufacturer edition carries copyright2019.

D815 technical section, §17.2.12, printed T-164, and Table 17-11: tooth-flank load distribution depends on face-width-to-diameter ratio, shaft bearing arrangement and shaft stiffness. The manufacturer distinguishes an uncertain loaded-contact case from one whose contact is predictable.

D815 technical section, Section 19 and §19.1, printed T-221: tooth-surface contact, assembly alignment and interpretation of surface contact for spur and helical meshes.

Section3.1.13.2: the example computes two modes and assigns damping ratios0.05 and0.02 independently. The implementation warning concerns its treatment of damping forces and iterative solution; no inference that the command supports every integration algorithm follows from the modal matrix construction.

Author's accepted manuscript. Authorship verified as Malcolm C. Smith by the repository and his Cambridge publication list. Accepted manuscript §17, p.24, equation(30), defines passivity through integrated terminal power and discusses the relationship with driving-point impedance. The manuscript is indexed at api.repository.cam.ac.uk/server/api/core/bitstreams/b5b67bb7-a085-4f3e-8fba-f889cb495a3a/content. Published in Annual Review of Control, Robotics, and Autonomous Systems3,361–391(2020).

Accepted manuscript §17, p.25, uses the force–current analogy and defines mechanical impedance as transformed relative velocity divided by force, with admittance its inverse. Check this convention when comparing with a force/velocity definition.

Authored lecture notes, MIT 8.09 and 8.309, title page naming Iain W. Stewart and copyright2016. Section1.4, printed pp.17–19: equation(1.62), differential of a time-dependent holonomic constraint; Figure1.10 and its moving-wire discussion distinguish actual displacement from virtual displacement at fixed time. Equations(1.64)–(1.66) give virtual work and generalized forces.

Manufacturer documentation by KHK: Intermeshing Pitch Circle, definition and the names operating pitch circle and working pitch circle.

The ABCs of Gears, A: The Introductory Course, §7, printed p. 18: diagram distinguishing reference, tip, base and root circles. Basic Gear Terminology and Calculation, reference diameter and module; Calculation of Gear Dimensions, §4.1, operating pitch circles for meshing profile-shifted spur gears.

The ABC's of Gears, Basic Guide B. Manufacturer-authored guide: §1.1, printed pp.4–5, speed ratios and compound gear trains, equations(1.1)–(1.2); §2, printed pp.12–19, module, reference pitch and reference/tip/root diameters, equations(2.1), (2.8)–(2.10), Figure2.6 and Table2.1; §3, printed pp.20–21, involute construction, base/reference circles and equation(3.1). The PDF contains facing printed pages; printed p.15 is PDF page8 and printed pp.20–21 are PDF page11.

Length of Path of Contact: usable contact is the active segment of the involute line of action, and contact ratio is its length divided by base pitch. Basic Guide B §2, printed p.19, equations(2.13)–(2.14), distinguishes normal and transverse helical-gear modules.

Calculation of Gear Dimensions, §4.3, Figure4.7 and equations(4.13)–(4.14): developed reference-cylinder diagram distinguishes normal pitch, transverse pitch, axial pitch and one-turn lead. The corresponding KHK Technical Reference printed page is614.

SSG-R ground spur gear catalog: separate columns and dimensional symbols for face width E, hub width F and total length G.

MIT OpenCourseWare, 2.080J Structural Mechanics, Fall2013, Lecture3. The official lecture index identifies Tomasz Wierzbicki as instructor: ocw.mit.edu/courses/2-080j-structural-mechanics-fall-2013/pages/lecture-notes/ . Sections3.4–3.5, equations3.46 and3.52–3.57, printedpp.3-18–3-20, derive beam virtual work, endpoint moment/rotation pairs and alternatives between prescribed end loads and prescribed end motions.

In Research & Technology 2005, NASA/TM-2006-214016, published1May2006; institutional record ntrs.nasa.gov/citations/20060054003 . Article locator: Flywheel Integrated Power and Attitude Control System Demonstrated. Opening two paragraphs describe the G2/D1 two-flywheel demonstration, air-bearing table, 20000–60000rpm operating range, simultaneous power-bus regulation and commanded torque. Load-cell measurements determine table torque.

Section3.1.13.1, coefficient table, damping-matrix formula and Note. The command combines mass with current, initial or last-committed stiffness matrices; the note cautions about concentrated-plasticity nonlinear time-history models.

Manufacturer technical catalogue, printed pp270–271 (PDFp2), Features and Movement of one cycle of the CP10-30 pinion vs SS3-30. The diagrams compare rack travel per half/full pinion turn and discuss backlash adjustment.

Manufacturer technical page, Principle of Operation: two lower anvils and central force application, adjustable support spacing; deflection can be measured by machine travel or a direct midspan plunger with a clip-on extensometer. Apparatus description only; no performance or compliance-certification claim is inferred.

MIT Department of Materials Science and Engineering module dated 30 November 2000. Introduction and Multiple integration, Example 1, pp. 1–3: simply supported central-load response and flexural-modulus inference; equation 7 gives the midspan deflection. The article uses positive downward displacement, opposite the signed displacement convention in the module.

Primary 2002 paper by Malcolm C. Smith, IEEE Transactions on Automatic Control47(10), 1648–1662. Abstract and pp1648–1651 introduce the ideal two-terminal inerter and mechanical realizations; the physical examples use rotational inertia and transmission geometry. University-hosted PDF is indexed but direct reader retrieval timed out; the abstract and indexed realization passages were verified.

Corporate primary technical glossary. Precise locator: Calculating Different Types of Modulus, Chord Modulus, defines a start strain point and an end strain point with the slope joining their curve points. Adjacent Secant Modulus and Segment Modulus subsections distinguish an origin-based slope from a regression using intermediate observations. No publication date or individual author is inferred.