Professor Matthew Cartmell

Professor of Nonlinear Mechanics

Department of Mechanical Engineering
Sir Frederick Mappin Building
Mappin Street
Sheffield
S1 3JD
UK

Telephone: +44(0)114 2227715
Fax: +44(0)114 2227890

Profile

Matthew Cartmell worked as a research fellow at Edinburgh University from 1984-1986, after graduating with a PhD from there in 1984. He then held a series of permanent academic posts at Aberdeen, Swansea and Edinburgh Universities, before taking up the Chair of Applied Dynamics at Glasgow University in 1998.

He took up the James Watt Chair of Mechanical Engineering at Glasgow University in 2006 and, in September 2012, the Chair of Nonlinear Mechanics at the University of Sheffield.

He is currently the Editor-in-Chief of the Journal of Sound and Vibration and former Editor-in-Chief of the Journal of Mechanical Engineering Science, Part C.

Areas of Research

Matthew Cartmell's research covers five main areas:

Momentum exchange space tethers,
Symbolic computational dynamics,
Dynamics of smart systems,
Mechanical energy harvesting and transmission,
Theoretical dynamics of parametric and nonlinear oscillating systems.

His background is in the modelling of phenomena involving parametric and nonlinear vibration in engineering systems but has extended in the last two decades to the nonlinear dynamics of space-based systems and structures. More recently his research has looked at novel applications of nonlinear dynamical phenomena to terrestrial mechanical energy harvester design.

Research Project Areas

The dynamics of momentum exchange space tethers and webs
Theoretical constructs as a basis for a new symbolic computational dynamics
The dynamics of smart systems with applications to automotive engineering
The dynamics of novel mechanical energy harvesters
The theoretical dynamics of systems undergoing parametric and nonlinear oscillations

Teaching

MEC282 - Aerostructures and Performance

MEC330 - Vibrations

Journal articles

Murray C & Cartmell MP (2013) Moon-tracking orbits using motorized tethers for continuous earth-moon payload exchanges. Journal of Guidance, Control, and Dynamics, 36(2), 567-576.
Georgiades F, Warminski J & Cartmell MP (2013) Linear modal analysis of L-shaped beam structures. Mechanical Systems and Signal Processing.
Georgiades F, Warminski J & Cartmell MP (2013) Towards linear modal analysis for an L-shaped beam: Equations of motion. Mechanics Research Communications, 47, 50-60.
Georgiades F, Warminski J & Cartmell MP (2013) Linear modal analysis of L-shaped beam structures. Mechanical Systems and Signal Processing, 38(2), 312-332.
Ismail R & Cartmell MP (2012) An investigation into the vibration analysis of a plate with a surface crack of variable angular orientation. Journal of Sound and Vibration, 331(12), 2929-2948.
Kovacic I & Cartmell MP (2012) Special issue on Parametric Excitation: Applications in science and engineering. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 226(8), 1909-1911.
Cartmell MP, Kovacic I & Zukovic M (2012) Autoparametric interaction in a double pendulum system. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 226(8), 1971-1986.
Ismail R & Cartmell MP (2012) An analysis of the effects of the orientation angle of a surface crack on the vibration of an isotropic plate. Journal of Physics: Conference Series, 382(1).
Georgiades F, Warminski J & Cartmell MP (2012) Linear modal analysis of L-shaped beam structures - Parametric studies. Journal of Physics: Conference Series, 382(1).
Big-Alabo A & Cartmell MP (2012) Vibration analysis of a trimorph plate as a precursor model for smart automotive bodywork. Journal of Physics: Conference Series, 382(1).
Hu H, Nakano K, Zheng R, Ohori M & Cartmell MP (2012) An experimental study of stochastic resonance in a bistable mechanical system. Journal of Physics: Conference Series, 382(1).
Kovacic I, Zukovic M & Cartmell MP (2012) On the oscillation death phenomenon in a double pendulum system with autoparametric interaction. Journal of Physics: Conference Series, 382(1).
Forehand DIM & Cartmell MP (2011) The implementation of an automated method for solution term-tracking as a basis for symbolic computational dynamics. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 225(1), 40-49.
Cartmell MP (2011) Editorial. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 225(6), 1289-1289.
Big-Alabo A & Cartmell MP (2011) Analiza drgań płyty trimorficznej pod ka̧tem zoptymalizowanej ochrony przed uszkodzeniem. Journal of Theoretical and Applied Mechanics, 49(3), 641-664.
Chen Y & Cartmell M (2010) Hybrid fuzzy sliding mode control for motorised space tether spin-up when coupled with axial and torsional oscillation. Astrophysics and Space Science, 326(1), 105-118.
Su X & Cartmell MP (2010) Modifications to the response of a parametrically excited cantilever beam by means of smart active elements. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 224(8), 1579-1591.
Vasile M, Cartmell M, Ismail N, Mathieson A, McRobb M, Drysdale T, Reynolds P, Whyte G, Maddock C, Mallol P, Ritterbusch R, Tibert G, Dejene FZ, Flores MA, Gulzar MY, Khalid MU, Li M, Öberg J, Sandqvist W, Tanveer MU, Zafar W, Zhang J, Purcell O & Summerer L (2010) The Suaineadh project: A stepping stone towards the deployment of large flexible structures in space. 61st International Astronautical Congress 2010, IAC 2010, 12, 9690-9701.
Ismail N & Cartmell MP (2010) In-service power requirement for motorised momentum exchange tether (MMET). 61st International Astronautical Congress 2010, IAC 2010, 8, 6412-6418.
Ganilova OA & Cartmell MP (2010) An analytical model for the vibration of a composite plate containing an embedded periodic shape memory alloy structure. Composite Structures, 92(1), 39-47.
Mikhlin YV & Cartmell MP (2009) Special Issue from the Second International Conference on Nonlinear Dynamics. Journal of Sound and Vibration, 322(3), 475-475.
Chen Y & Cartmell MP (2009) Hybrid fuzzy and sliding-mode control for motorised space tether spin-up when coupled with axial oscillation. Journal of Physics: Conference Series, 181(1).
Israr A, Cartmell MP, Manoach E, Trendafilova I, Ostachowicz W, Krawczuk M & Zak A (2009) Analytical modeling and vibration analysis of partially cracked rectangular plates with different boundary conditions and loading. Journal of Applied Mechanics, Transactions ASME, 76(1), 1-9.
Cartmell MP & McKenzie DJ (2008) A review of space tether research. Progress in Aerospace Sciences, 44(1), 1-21.
Mckenzie DJ & Cartmell MP (2008) Modelling of tethered space-web structures. JBIS - Journal of the British Interplanetary Society, 61(1), 24-31.
Trendafilova I, Cartmell MP & Ostachowicz W (2008) Vibration-based damage detection in an aircraft wing scaled model using principal component analysis and pattern recognition. Journal of Sound and Vibration, 313(3-5), 560-566.
Warminski J, Bochenski M, Cartmell MP & Ivanov I (2008) Analytical and experimental investigations of an autoparametric beam structure. Journal of Sound and Vibration, 315(3), 486-508.
Murray C & Cartmell M (2008) Continuous earth-moon payload exchange using motorised momentum exchange tethers. International Astronautical Federation - 59th International Astronautical Congress 2008, IAC 2008, 12, 7711-7721.
Shishkina EV, Blekhman II, Gavrilov SN & Cartmell MP (2008) Application of the method of direct separation of motions to the parametric stabilization of an elastic wire. Nonlinear Dynamics, 54(4), 313-331.
McInnes CR, Gorman DG & Cartmell MP (2008) Enhanced vibrational energy harvesting using nonlinear stochastic resonance. Journal of Sound and Vibration, 318(4-5), 655-662.
Cartmell M (2008) Untitled. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 222(12), III-III.
Grabowska J, Krawczuk M, Palacz M, Ostachowicz W, Trendafilova I, Manoach E & Cartmell M (2007) Wavelet analysis for damage identification in composite structures. Key Engineering Materials, 347, 253-258.
Trendafilova I, Manoach E, Cartmell MP, Ostachowicz W & Zak A (2007) An investigation on damage detection in aircrafts panels using nonlinear time series analysis. Key Engineering Materials, 347, 213-218.
McInnes CR & Cartmell MP (2007) 7 Orbital mechanics of propellantless propulsion systems. Elsevier Astrodynamics Series, 1, 189-235.
Lees AW, Jana S, Inman DJ & Cartmell MP (2007) The control of bearing stiffness using shape memory. Conference Proceedings of the Society for Experimental Mechanics Series.
Chen Y & Cartmell MP (2007) Multi-objective optimisation on motorised momentum exchange tether for payload orbital transfer. 2007 IEEE Congress on Evolutionary Computation, CEC 2007, 987-993.
Xu X, Wiercigroch M & Cartmell MP (2006) Erratum: Rotating orbits of a parametrically-excited pendulum (Chaos, Solitons & Fractals (2005) 23 (1537-1548)). Chaos, Solitons and Fractals, 29(4), 1045-1045.
Lennert S & Cartmell MP (2006) Analysis and design of a friction brake for momentum exchange propulsion tethers. Acta Astronautica, 59(8-11), 923-930.
Inman DJ, Cartmell MP, Atepor L, Lees AW & Leize T (2006) Proposals for controlling flexible rotor vibrations by means of an antagonistic SMA/composite smart bearing. Applied Mechanics and Materials, 5-6, 29-36.
Israr A, Cartmell MP, Krawczuk M, Ostachowicz WM, Palacz M, Manoach E, Trendafilova I & Shishkina EV (2006) On approximate anatytical solutions for vibrations in cracked plates. Applied Mechanics and Materials, 5-6, 315-322.
McKenzie DJ & Cartmell MP (2006) Modelling of tethered space-web structures. AIAA 57th International Astronautical Congress, IAC 2006, 13, 8765-8772.
Allison J, Kokkolaras M, Papalambros PY, Walsh D & Cartmell M (2006) Analytical target cascading in aircraft design. Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting, 21, 16112-16120.
Aguzzi M, Villanti M, Radice G, Cartmell M, Vasile M & Perino MA (2006) A logistic system based on momentum exchange tethers for Earth-Moon cargo transportation. AIAA 57th International Astronautical Congress, IAC 2006, 12, 8435-8446.
Liu J-X, Wang Y-J & Cartmell M (2005) Improved rate monotonic schedulability test algorithm. Ruan Jian Xue Bao/Journal of Software, 16(1), 89-100.
Xu X, Wiercigroch M & Cartmell MP (2005) Rotating orbits of a parametrically-excited pendulum. Chaos, Solitons and Fractals, 23(5), 1537-1548.
Cartmell MP, Cardoni A, Lucas M & Lim FCN (2005) Optimisation of the vibrational response of ultrasonic cutting systems. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 70(5), 645-656.
Wang Y-J, Tao Q-M, Liu H & Cartmell M (2005) A generalized real-time obstacle avoidance method without the cspace calculation. Journal of Computer Science and Technology, 20(6), 774-787.
Cartmell MP, Whittaker AR & Krimly A (2005) The kinematics and dynamics of a dextrous parallel manipulator for structural inspection applications. Key Engineering Materials, 293-294, 653-660.
Forehand DIM, Khanin R & Cartmell MP (2005) The theory and application of a classical Eulerian multibody code. International Journal of Mechanical Engineering Education, 33(2), 149-176.
Ostachowicz W, Krawczuk M, Cartmell M & Gilchrist M (2004) Wave propagation in delaminated beam. Computers and Structures, 82(6), 475-483.
Wang Y, Han L, Li M, Wang Q, Zhou J & Cartmell M (2004) A real-time path planning approach without the computation of Cspace obstacles. Robotica, 22(2), 173-187.
Warmiński J, Litak G, Cartmell MP, Khanin R & Wiercigroch M (2004) Erratum: Approximate analytical solutions for primary chatter in the non-linear metal cutting model (Journal of Sound and Vibration (2003) 259:4 (917-933) DOI: 10.1016/S0022-460X(02)00615-6). Journal of Sound and Vibration, 272(1-2), 469-470.
Lim FCN, Cartmell MP, Cardoni A & Lucas M (2004) A preliminary investigation into optimising the response of vibrating systems used for ultrasonic cutting. Journal of Sound and Vibration, 272(3-5), 1047-1069.
Forehand DIM, Khanin R & Cartmell MP (2004) A Lagrangian multibody code for deriving the symbolic state-space equations of motion for open-loop systems containing flexible beams. Mathematics and Computers in Simulation, 67(1-2), 85-98.
Draper CH & Cartmell MP (2004) Assessing the motorized momentum exchange tether's operational lifetime: the multidimensional casualty area concept. 40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit.
McKenzie DJ & Cartmell MP (2004) On the performance of a motorized tether using a ballistic launch method. International Astronautical Federation - 55th International Astronautical Congress 2004, 5, 3064-3073.
Cardoni A, Lucas M, Cartmell M & Lim F (2004) A novel multiple blade ultrasonic cutting device.. Ultrasonics, 42(1-9), 69-74.
Warminski J, Litak G, Cartmell MP, Khanin R & Wiercigroch M (2003) Approximate analytical solutions for primary chatter in the non-linear metal cutting model. Journal of Sound and Vibration, 259(4), 917-933.
Cartmell MP (2003) On the need for control of nonlinear oscillations in machine systems. Meccanica, 38(2), 185-212.
Zak AJ, Cartmell MP & Ostachowicz WM (2003) A sensitivity analysis of the dynamic performance of a composite plate with shape memory alloy wires. Composite Structures, 60(2), 145-157.
Zak AJ, Cartmell MP & Ostachowicz W (2003) Dynamics of multilayered composite plates with shape memory alloy wires. Journal of Applied Mechanics, Transactions ASME, 70(3), 313-327.
Zak AJ, Cartmell MP, Ostachowicz WM & Wiercigroch M (2003) One-dimensional shape memory alloy models for use with reinforced composite structures. Smart Materials and Structures, 12(3), 338-346.
Zak AJ, Cartmell MP & Ostachowicz WM (2003) Dynamics and control of a rotor using an integrated SMA/composite active bearing actuator. Key Engineering Materials, 245-346, 233-240.
Lucas M, Cardoni A, Lim FCN & Cartmell MP (2003) Effects of modal interactions on vibration performance in ultrasonic cutting. CIRP Annals - Manufacturing Technology, 52(1), 193-196.
Cartmell MP, Khanin R, Forehand DIM & Ziegler SW (2003) Multiple scales analyses of the dynamics of weakly nonlinear mechanical systems. Applied Mechanics Reviews, 56(5), 455-491.
Lennert S & Cartmell MP (2003) Analysis and design of a friction brake for momentum exchange propulsion tethers. European Space Agency, (Special Publication) ESA SP(542), 87-93.
Krawczuk M, Ostachowicz W, Zak A & Cartmell M (2003) Propagation of Elastic Waves in Beams - Including Damping Effects. Materials Science Forum, 440-441, 179-186.
Zak AJ, Cartmell MP & Ostachowicz WM (2003) Static and Dynamic Behaviour of Composite Structures with Shape Memory Alloy Components. Materials Science Forum, 440-441, 345-352.
Cardoni A, Lucas M, Cartmell MP & Lim FCN (2003) Nonlinear and Parametric Vibrations in Ultrasonic Cutting Systems. Materials Science Forum, 440-441, 397-404.
Forehand DIM & Cartmell MP (2003) Derivation of the Stiffness Terms for a Multi-Cable Spreader Suspension System with Stiff Elastic Cables. Materials Science Forum, 440-441, 127-134.
Karpenko EV, Wiercigroch M, Pavlovskaia EE & Cartmell MP (2002) Piecewise approximate analytical solutions for a Jeffcott rotor with a snubber ring. International Journal of Mechanical Sciences, 44(3), 475-488.
Karpenko EV, Wiercigroch M & Cartmell MP (2002) Regular and chaotic dynamics of a discontinuously nonlinear rotor system. Chaos, Solitons and Fractals, 13(6), 1231-1242.
Wu J-J, Cartmell MP & Whittaker AR (2002) Prediction of the vibration characteristics of a full-size structure from those of a scale model. Computers and Structures, 80(18-19), 1461-1472.
Ostachowicz W, Krawczuk M & Cartmell M (2002) The location of a concentrated mass on rectangular plates from measurements of natural vibrations. Computers and Structures, 80(16-17), 1419-1428.
Khanin R & Cartmell M (2001) Parallelization of Perturbation Analysis: Application to Large-scale Engineering Problems. Journal of Symbolic Computation, 31(4), 461-473.
Atia KR & Cartmell MP (2001) A new methodology for designing PD controllers. Robotica, 19(3), 267-273.
Forehand DIM & Cartmell MP (2001) On the derivation of the equations of motion for a parametrically excited cantilever beam. Journal of Sound and Vibration, 245(1), 165-177.
Wu JJ, Whittaker AR & Cartmell MP (2001) Dynamic responses of structures to moving bodies using combined finite element and analytical methods. International Journal of Mechanical Sciences, 43(11), 2555-2579.
Ziegler SW & Cartmell MP (2001) Using motorized tethers for payload orbital transfer. Journal of Spacecraft and Rockets, 38(6), 904-913.
Ziegler SW & Cartmell MP (2001) On the validity of recent predictions for tethers on elliptical orbits. Advances in the Astronautical Sciences, 108 II, 1831-1838.
McInnes CR, Cartmell M, Radice G, Welsh T, McDonald M, Hughes G, Ziegler S, McQuade F & Roger A (2001) Advances in space systems engineering at the University of Glasgow. AIRCRAFT ENGINEERING AND AEROSPACE TECHNOLOGY, 73(4), 360-366.
Atia KR & Cartmell MP (2000) SEPA-ROBOT: A serial-parallel manipulator with singularity-based design. Proceedings of the IEEE International Conference on Industrial Technology, 2, 49-54.
Khanin R, Cartmell M & Gilbert A (2000) Computerized implementation of the multiple scales perturbation method using Mathematica. Computers and Structures, 76(5), 565-575.
Wu J-J, Whittaker AR & Cartmell MP (2000) Use of finite element techniques for calculating the dynamic response of structures to moving loads. Computers and Structures, 78(6), 789-799.
Ouyang H, Mottershead JE, Brookfield DJ & Cartmell MP (1999) Friction-induced vibration of an elastic slider on a vibrating disc. International Journal of Mechanical Sciences, 41(3), 325-336.
Ouyang H, Mottershead JE, Brookfield DJ, James S, Cartmell MP, Kaster T, Treyde T, Hirst B & Allen R (1999) Dynamic instabilities in a simple model of a car disc brake. SAE Technical Papers.
Atia KR & Cartmell MP (1999) General dynamic model for a large-scale 2-DOF planar parallel manipulator. Robotica, 17(6), 675-683.
Wang Y & Cartmell MP (1998) New model for passing sight distance on two-lane highways. Journal of Transportation Engineering, 124(6), 536-544.
Al-Salka MA, Cartmell MP & Hardy SJ (1998) A framework for a generalized computer-based support environment for conceptual engineering design. Journal of Engineering Design, 9(1), 57-85.
Wang Y & Cartmell MP (1998) Trajectory generation for a four wheel steering tractor-trailer system: A two-step method. Robotica, 16(4), 381-386.
Ouyang H, Mottershead JE, Cartmell MP & Friswell MI (1998) Friction-induced parametric resonances in discs: Effect of a negative friction-velocity relationship. Journal of Sound and Vibration, 209(2), 251-263.
Cartmell MP, Morrish L & Taylor AJ (1998) Dynamics of spreader motion in a gantry crane. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 212(2), 85-105.
Wang Y & Cartmell MP (1998) Autonomous vehicle parallel parking design using function fitting approaches. Robotica, 16(2), 159-170.
Mottershead JE, Friswell MI, Cartmell MP & Ouyang H (1997) Parametric resonances in an annular disc, with a rotating system of distributed mass and elasticity; and the effects of friction and damping. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 453(1956), 1-19.
Morrish L, Cartmell MP & Taylor AJ (1997) Geometry and kinematics of multicable spreader lifting gear. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 211(3), 185-194.
Cartmell MP, Morrish L & Taylor AJ (1996) Cable stretch asymmetries in multi-cable spreader suspension systems undergoing combined translations and rotations. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 210(3), 225-237.
Ouyang H, Chan SN, Mottershead JE, Friswell MI & Cartmell MP (1995) Parametric vibrations in discs: Point-wise and distributed loads, including rotating friction. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, 84(3 Pt A/2), 1125-1133.
Watt D & Cartmell MP (1994) An Externally Loaded Parametric Oscillator. Journal of Sound and Vibration, 170(3), 339-364.
Chan SN, Mottershead JE & Cartmell MP (1994) Parametric resonances at subcritical speeds in discs with rotating frictional loads. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 208(6), 417-425.
CARTMELL M & LAWSON J (1994) PERFORMANCE ENHANCEMENT OF AN AUTOPARAMETRIC VIBRATION ABSORBER BY MEANS OF COMPUTER CONTROL. JOURNAL OF SOUND AND VIBRATION, 177(2), 173-195.
Cartmell MP, Fothergill AP & Forster JKW (1993) Theoretical Foundations for a Design Brief Expansion System. JOURNAL OF ENGINEERING DESIGN, 4(3), 221-248.
Cartmell MP (1993) The Design of a Buoyancy Module Testing Facility. JOURNAL OF ENGINEERING DESIGN, 4(1), 25-39.
Forster J, Cartmell M & Fothergill P (1991) Design methodologies in mechanical engineering. Proceedings of the 3rd International Conference on Industrial and Engineering Applications of Artificial Intelligence and Expert Systems, 819-827.
Cartmell MP (1990) The equations of motion for a parametrically excited cantilever beam. Journal of Sound and Vibration, 143(3), 395-406.
Cartmell MP & Freeman D (1990) The Mechanics and Design of Rotating Disc Salt Dispersal Systems for Winter Road Maintenance. JOURNAL OF ENGINEERING DESIGN, 1(3), 297-324.
Cartmell MP & Roberts JW (1988) Simultaneous combination resonances in an autoparametrically resonant system. Journal of Sound and Vibration, 123(1), 81-101.
Cartmell MP & Roberts JW (1987) SIMULTANEOUS COMBINATION RESONANCES IN A PARAMETRICALLY EXCITED CANTILEVER BEAM.. Strain, 23(3), 117-126.
Roberts JW & Cartmell MP (1984) FORCED VIBRATION OF A BEAM SYSTEM WITH AUTOPARAMETRIC COUPLING EFFECTS.. Strain, 20(3), 123-131.

Conferences

Trendafilova I, Manoach E, Cartmell MP, Krawczuk M, Ostachowicz WM & Palacz M (2006) On the problem for damage detection of vibrating cracked nates. Modern Practice in Stress and Vibration Analysis VI, Proceedings, 5-6, 247-254.