Larry M. Silverberg Professor Phone: (919) 515-5665 Email: lmsilver@ncsu.edu Office: Engineering Building III (EB3) 1306 Website: https://mae.ncsu.edu/people/lmsilver Research Area: Dynamics and modern physics Recent articles and videos Books: Larry M. Silverberg and Chau M. Tran (2022) “Fundamentals in Analog Circuits,” Great River Learning, Debuque, Iowa, 4th ed. Larry M. Silverberg (2008), “Unified Field Theory for the Engineer and the Applied Scientist,” J. Wiley, Inc. ISBN-13: 978-3527407880 Larry M. Silverberg and J. P. Thrower (2001) “Mark’s Mechanics: Problem-Solving Companion,” McGraw Hill Book Co. ISBN 0-07-136278-9 Biographical narrative Publications At the speed of light: Toward a quantum-deterministic description? Silverberg, L. M., Eischen, J. W., & Whaley, C. B. (2024), PHYSICS ESSAYS, 37(4), 229–241. https://doi.org/10.4006/0836-1398-37.4.229 High performance computing of the nonlinear dynamics of a basketball Silverberg, L. M., & Tran, C. M. (2024, June 14), NONLINEAR DYNAMICS, Vol. 6. https://doi.org/10.1007/s11071-024-09833-z How Schwarzschild could have discovered and fixed the problem with his metric Miller, L. R., Silverberg, L. M., Eischen, J. W., & Miller, S. R. (2024), PHYSICS ESSAYS, 37(1), 74–79. https://doi.org/10.4006/0836-1398-37.1.74 Trajectory of a Spacecraft When It Passes by a Gravitational Body During Interstellar Travel Silverberg, L. M., & Eischen, J. W. (2023, September 8), JOURNAL OF SPACECRAFT AND ROCKETS, Vol. 9. https://doi.org/10.2514/1.A35684 Ungulate responses and habituation to unmanned aerial vehicles in Africa's savanna vanVuuren, M., vanVuuren, R., Silverberg, L. M., Manning, J., Pacifici, K., Dorgeloh, W., & Campbell, J. (2023), PLOS ONE, 18(7). https://doi.org/10.1371/journal.pone.0288975 Discrete element method simulator for joint dynamics: a case study using a red-tailed hawk's hallux digit Mollik, T., Kennedy, S., Ul Shougat, M. R. E., Li, X., Fitzgerald, T., Echols, S., … Perkins, E. (2022, June 2), MULTIBODY SYSTEM DYNAMICS, Vol. 6. https://doi.org/10.1007/s11044-022-09828-x Isotropic packing algorithm for particle simulations Coppola, S., & Silverberg, L. M. (2021), INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 122(17), 4698–4708. https://doi.org/10.1002/nme.6742 Artificial Lumbered Flight for Autonomous Soaring Powers, T. C., Silverberg, L. M., & Gopalarathnam, A. (2020), JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 43(3), 553–566. https://doi.org/10.2514/1.G004397 On a new field theory formulation and a space-time adjustment that predict the same precession of Mercury and the same bending of light as general relativity Silverberg, L. M., & Eischen, J. W. (2020), PHYSICS ESSAYS, 33(4), 489–512. https://doi.org/10.4006/0836-1398-33.4.489 Gender comparison in consistency in the basketball free throw by an event-driven approach Silverberg, L. M., Tran, C. M., & Laue, C. (2018), SPORTS ENGINEERING, 21(4), 333–340. https://doi.org/10.1007/s12283-018-0276-z Lawrence M Silverberg Mechanical and Aerospace Engineering https://orcid.org/0000-0003-2325-580X Works 34 Employment Education Works (34) Updated: January 20th, 2025 08:21 2024 journal article At the speed of light: Toward a quantum-deterministic description? PHYSICS ESSAYS, 37(4), 229–241. By: L. Silverberg n, J. Eischen n & C. Whaley author keywords: Deterministic; Gravitation; Light; Photon; Electron; Impetus; Primitive; Quantum; Spacetime; Stability 10.4006/0836-1398-37.4.229 Find Text @ NCSU Sources: Web Of Science, NC State University Libraries Added: December 23, 2024 2024 article High performance computing of the nonlinear dynamics of a basketball Silverberg, L. M., & Tran, C. M. (2024, June 14). NONLINEAR DYNAMICS, Vol. 6. By: L. Silverberg n & C. Tran n author keywords: Complementarity conditions; Event-driven approach; Exact solutions; Fast computation; Player and shot performance 10.1007/s11071-024-09833-z Find Text @ NCSU Sources: Web Of Science, NC State University Libraries Added: June 24, 2024 2024 journal article How Schwarzschild could have discovered and fixed the problem with his metric PHYSICS ESSAYS, 37(1), 74–79. By: L. Miller, L. Silverberg n, J. Eischen n & S. Miller* author keywords: Schwarzschild; Gravity; Black Hole; Singularity; General Relativity; Einstein's Equation 10.4006/0836-1398-37.1.74 Find Text @ NCSU Sources: Web Of Science, NC State University Libraries Added: April 8, 2024 2023 article Trajectory of a Spacecraft When It Passes by a Gravitational Body During Interstellar Travel Silverberg, L. M., & Eischen, J. W. (2023, September 8). JOURNAL OF SPACECRAFT AND ROCKETS, Vol. 9. By: L. Silverberg n & J. Eischen n author keywords: Spacecraft Trajectories; Interstellar Travel; Interstellar Missions 10.2514/1.A35684 Find Text @ NCSU Sources: Web Of Science, NC State University Libraries Added: September 18, 2023 2023 journal article Ungulate responses and habituation to unmanned aerial vehicles in Africa's savanna PLOS ONE, 18(7). By: M. vanVuuren, R. vanVuuren, L. Silverberg n, J. Manning n, K. Pacifici n , W. Dorgeloh n, J. Campbell n TL;DR: A stronger correlation between flight altitude and response across the different ungulates is suggested, and the evidence suggests rapid habituation to the UAVs. (via Semantic Scholar) 10.1371/journal.pone.0288975 Find Text @ NCSU open access via doi.org (publisher) UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 14. Life Below Water (Web of Science) 15. Life on Land (Web of Science) Sources: Web Of Science, NC State University Libraries Added: August 21, 2023 2022 article Discrete element method simulator for joint dynamics: a case study using a red-tailed hawk's hallux digit Mollik, T., Kennedy, S., Ul Shougat, M. R. E., Li, X., Fitzgerald, T., Echols, S., … Perkins, E. (2022, June 2). MULTIBODY SYSTEM DYNAMICS, Vol. 6. By: T. Mollik n, S. Kennedy n, M. Ul Shougat n, X. Li n, T. Fitzgerald *, S. Echols, N. Kirk, L. Silverberg n, E. Perkins n author keywords: Discrete element method; Dynamic simulation; Multibody; Biomechanical analysis; Skeletal system 10.1007/s11044-022-09828-x Find Text @ NCSU Sources: Web Of Science, NC State University Libraries Added: June 13, 2022 2021 journal article Isotropic packing algorithm for particle simulations INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 122(17), 4698–4708. By: S. Coppola n & L. Silverberg n 10.1002/nme.6742 Find Text @ NCSU Sources: Web Of Science, NC State University Libraries Added: May 24, 2021 2020 journal article Artificial Lumbered Flight for Autonomous Soaring JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 43(3), 553–566. By: T. Powers n, L. Silverberg n & A. Gopalarathnam n TL;DR: This paper presents an autonomous soaring strategy that exploits updraft energy indepenence for small-class fixed-wing unmanned aerial vehicles. (via Semantic Scholar) 10.2514/1.G004397 Find Text @ NCSU open access via www.lib.ncsu.edu (repository) UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 7. Affordable and Clean Energy (OpenAlex) 11. Sustainable Cities and Communities (Web of Science) Sources: Web Of Science, NC State University Libraries Added: March 10, 2020 2020 journal article On a new field theory formulation and a space-time adjustment that predict the same precession of Mercury and the same bending of light as general relativity PHYSICS ESSAYS, 33(4), 489–512. By: L. Silverberg & J. Eischen* author keywords: Newtonian Theory; Field Theory; General Relativity; Gravitation; Precession of Mercury; Bending of Light; Vector Continuity 10.4006/0836-1398-33.4.489 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 1. No Poverty (Web of Science) Sources: Web Of Science, NC State University Libraries Added: February 22, 2021 2018 journal article Gender comparison in consistency in the basketball free throw by an event-driven approach SPORTS ENGINEERING, 21(4), 333–340. By: L. Silverberg n, C. Tran n & C. Laue n author keywords: Event-driven approach; Basketball; Free throw; Gender; Women; Men 10.1007/s12283-018-0276-z Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 5. Gender Equality (Web of Science; OpenAlex) Sources: Web Of Science, NC State University Libraries Added: December 31, 2018 2016 journal article A New System Development Framework Driven by a Model-Based Testing Approach Bridged by Information Flow IEEE SYSTEMS JOURNAL, 12(3), 2917–2924. By: D. Zhu n, E. Pritchard n & L. Silverberg n author keywords: Batteries; complex systems; information flow; model-based design (MBD); system development TL;DR: This work proposes a new framework, in the form of a new design structure matrix, for complex system development (CSD) that more effectively utilizes information flow from model-based testing (MBT). (via Semantic Scholar) 10.1109/JSYST.2016.2631142 Find Text @ NCSU Sources: Web Of Science, NC State University Libraries Added: October 19, 2018 2012 journal article Cellular growth algorithms for shape design of truss structures COMPUTERS & STRUCTURES, 116, 1–6. By: C. Tschida n & L. Silverberg n author keywords: Truss; Design; Bio-inspired; Optimization; Evolutionary algorithms TL;DR: A novel approach to truss structure shape design is introduced, drawing inspiration from biological processes, that treats each joint or member of a truss as a cell and the entire trussed as a multicellular organism. (via Semantic Scholar) 10.1016/j.compstruc.2012.10.006 Find Text @ NCSU Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2011 journal article Optimal Targets for the Bank Shot in Men's Basketball JOURNAL OF QUANTITATIVE ANALYSIS IN SPORTS, 7(1). By: L. Silverberg, C. Tran* & T. Adams author keywords: basketball; bank shot; optimal; backboard 10.2202/1559-0410.1299 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 5. Gender Equality (Web of Science) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2010 journal article Autonomous Soaring: The Montague Cross-Country Challenge JOURNAL OF AIRCRAFT, 47(5), 1763–1769. By: D. Edwards n & L. Silverberg n 10.2514/1.c000287 Find Text @ NCSU open access via www.lib.ncsu.edu (repository) UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 11. Sustainable Cities and Communities (Web of Science) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2009 journal article Control of Underwater Vehicles in Full Unsteady Flow IEEE JOURNAL OF OCEANIC ENGINEERING, 34(4), 656–668. By: B. Levedahl n & L. Silverberg n author keywords: Fluid compensation; submarine control; unmanned underwater vehicle (UUV) control; unsteady flow; vehicle modeling 10.1109/JOE.2009.2027798 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 11. Sustainable Cities and Communities (Web of Science) 14. Life Below Water (OpenAlex) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2008 journal article Characterizing Hydrodynamic Loads in Full Unsteady Flow AIAA JOURNAL, 46(12), 3159–3163. By: L. Silverberg n & B. Levedahl n 10.2514/1.36626 Find Text @ NCSU Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2008 journal article Fourier series of half-range functions by smooth extension APPLIED MATHEMATICAL MODELLING, 33(2), 812–821. By: J. Morton n & L. Silverberg n author keywords: Fourier series; Smooth extension; Half-range problems 10.1016/j.apm.2007.12.009 Find Text @ NCSU open access via doi.org (publisher) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2008 journal article Optimal release conditions for the free throw in men's basketball JOURNAL OF SPORTS SCIENCES, 26(11), 1147–1155. By: C. Tran n & L. Silverberg n author keywords: basketball; free throw; dynamics; release conditions MeSH headings : Adult; Basketball / physiology; Biomechanical Phenomena; Humans; Male; Models, Theoretical; Pilot Projects; Posture; Task Performance and Analysis TL;DR: It is found that the shooter should place up to 3 Hz of back spin on the ball, should aim the ball towards the back of the ring, and should launch the ball at 52° to the horizontal. (via Semantic Scholar) 10.1080/02640410802004948 Find Text @ NCSU PubMed UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 5. Gender Equality (Web of Science) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2005 journal article Autonomous coordination of aircraft formations using direct and nearest-neighbor approaches JOURNAL OF AIRCRAFT, 42(2), 469–477. By: L. Silverberg n & B. Levedahl n TL;DR: A perturbation analysis is developed for the efficient calculation of control gains that minimize power and uniformly dampen motion and why implementing direct coordination is simpler than implementing nearest-neighbor coordination. (via Semantic Scholar) 10.2514/1.6868 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 11. Sustainable Cities and Communities (Web of Science) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2005 book Basic experiments in PID control for engineers Boston : Pearson/Custom Publishing. Lawrence Silverberg; Chau Tran ISBN: 053697571X Source: NC State University Libraries Added: August 6, 2018 2004 journal article Transpermanent magnetic actuation for spacecraft pointing, shape control, and deployment JOURNAL OF SPACECRAFT AND ROCKETS, 41(6), 1051–1055. By: L. Silverberg n & D. Farmer 10.2514/1.1350 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 7. Affordable and Clean Energy (OpenAlex) 11. Sustainable Cities and Communities (Web of Science) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2004 journal article Transpermanent magnetics using alternating uniform linear stacks JOURNAL OF MECHANICAL DESIGN, 127(4), 679–687. By: L. Silverberg n & L. Duval n 10.1115/1.1897743 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 7. Affordable and Clean Energy (OpenAlex) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2003 journal article A case study of prototyping methods and design for manufacture: electrostatic window blinds JOURNAL OF ENGINEERING DESIGN, 15(1), 91–106. By: S. Kiefer*, L. Silverberg n & M. Gonzalez n 10.1080/0954482021000050820 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 3. Good Health and Well-being (Web of Science) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2003 journal article Analysis of trans-permanent magnetic systems JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 125(1), 143–146. By: L. Silverberg n & L. Duval n 10.1115/1.1543553 Find Text @ NCSU Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2003 journal article Numerical analysis of the basketball shot JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 125(4), 531–540. By: L. Silverberg n , C. Tran n & K. Adcock n 10.1115/1.1636193 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 5. Gender Equality (Web of Science) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 2001 journal article Electrostatically actuated window blinds Journal of Electrostatics, 50(4), 229–248. By: S. Kiefer*, L. Silverberg n & M. Gonzalez n 10.1016/s0304-3886(00)00038-3 Find Text @ NCSU Sources: NC State University Libraries, NC State University Libraries Added: August 6, 2018 2001 book Marks' mechanics problem-solving companion New York: McGraw-Hill. By: L. Silverberg & J. Thrower ISBN: 0071362789 Source: NC State University Libraries Added: August 6, 2018 1999 journal article Paraboloidally shaped antenna possessing pointing and beam-width control JOURNAL OF SPACECRAFT AND ROCKETS, 36(5), 736–744. By: R. Stanley n & L. Silverberg n 10.2514/2.3487 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 11. Sustainable Cities and Communities (Web of Science) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 1999 journal article Weighted-residual discretization for uniform damping and uniform stiffening of structural systems JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 22(4), 614–618. By: L. Silverberg n & G. Washington * 10.2514/2.7638 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 11. Sustainable Cities and Communities (Web of Science) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 1998 article Comment on "conjecture about orthogonal functions" - Reply JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, Vol. 21, pp. 189–190. By: L. Silverberg n 10.2514/2.4223 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 11. Sustainable Cities and Communities (Web of Science) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 1998 journal article On control and optimization of elastic multilink mechanisms COMPUTERS & STRUCTURES, 67(6), 483–502. By: H. Wang n, J. Eischen n & L. Silverberg n 10.1016/s0045-7949(98)00060-1 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 11. Sustainable Cities and Communities (Web of Science) 16. Peace, Justice and Strong Institutions (OpenAlex) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 1997 journal article Conjecture about orthogonal functions JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 20(1), 198–202. By: L. Silverberg n 10.2514/2.4021 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 11. Sustainable Cities and Communities (Web of Science) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 1997 journal article Uniform damping and stiffness control of structures with distributed actuators JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 119(3), 561–565. By: G. Washington * & L. Silverberg* 10.1115/1.2801294 Find Text @ NCSU UN Sustainable Development Goals Color Wheel UN Sustainable Development Goal Categories 11. Sustainable Cities and Communities (Web of Science) 16. Peace, Justice and Strong Institutions (OpenAlex) Sources: Web Of Science, NC State University Libraries Added: August 6, 2018 1994 patent Electrostatically shaped membranes Washington, DC: U.S. Patent and Trademark Office. By: L. Silverberg Libraries repository Source: NC State University Libraries