Chapter 2 Tensegrity

Adhikari, 2004, Optimal complex modes and an index of damping non-proportionality, Mechanical Systems and Signal Processing, 18, 1, 10.1016/S0888-3270(03)00048-7 Aldrich, 2003 Ashley, 1998, Magnetostrictive actuators, Mechanical Engineering Magazine, 120, 68, 10.1115/1.1998-JUN-3 Bar-Cohen, 2004 Bausch, 1998, Local measurements of viscoelastic parameters of adherent cell surfaces by magnetic bead microrheometry, Biophysical Journal, 75, 2038, 10.1016/S0006-3495(98)77646-5 Besseling, 1979, Geometrical and physical nonlinearities. Some developments in the Netherlands, Computer Methods in Applied Mechanics and Engineering, 17–18, 131, 10.1016/0045-7825(79)90085-9 Calladine, 1978, Buckminster Fuller's tensegrity structures and Clerk Maxwell's rules for the construction of stiff frames, International Journal of Solids and Structures, 14, 161, 10.1016/0020-7683(78)90052-5 Calladine, 1991, First order infinitesimal mechanisms, International Journal of Solids and Structures, 27, 505, 10.1016/0020-7683(91)90137-5 Canadas, 2002, A cellular tensegrity model to analyze the structural viscoelasticity of the cytoskeleton, Journal of Theoretical Biology, 218, 155, 10.1006/jtbi.2002.3064 Canadas, 2006, Frequency response of a viscoelastic tensegrity model: structural rearrangement contribution to cell mechanics, ASME Journal of Biomechanical Engineering, 128, 487, 10.1115/1.2205867 Caspar, 1962, 1 Connelly, 1980, The rigidity of certain cabled networks and the second order rigidity of arbitrarily triangulated convex surfaces, Advances in Mathematics, 37, 272, 10.1016/0001-8708(80)90037-7 Connelly, 1982, Rigidity and energy, Inventiones Mathematicae, 66, 11, 10.1007/BF01404753 Connelly, 1998, Mathematics and tensegrity, American Scientist, 86, 453, 10.1511/1998.2.142 Connelly, 1992, The stability of tensegrity frameworks, International Journal of Space Structures, 7, 153, 10.1177/026635119200700208 Connelly, 1996, Second-order rigidity and prestress stability for tensegrity frameworks, SIAM Journal of Discrete Mathematics, 9, 453, 10.1137/S0895480192229236 Corless, 1993, Control of uncertain nonlinear systems, Journal of Dynamic Systems, Measurement, and Control, 15, 471 Coughlin, 1997, A tensegrity structure with buckling compression elements: application to cell mechanics, Journal of Applied Mechanics, 64, 480, 10.1115/1.2788918 Coughlin, 1998, A tensegrity model of the cytoskeleton in spread and round cells, ASME Journal of Biomechanical Engineering, 120, 770, 10.1115/1.2834892 Defossez, 2003, Shape memory effect in tensegrity structures, Mechanics Research Communications, 30, 311, 10.1016/S0093-6413(03)00030-2 Defossez, 2004, Mechanical response of a tensegrity close to its integrity limit submitted to external constraints, Mechanics Research Communications, 31, 569, 10.1016/j.mechrescom.2004.03.014 Djouadi, 1998, Active control of tensegrity systems, ASCE Journal of Aerospace Engineering, 11, 37, 10.1061/(ASCE)0893-1321(1998)11:2(37) Dote, 1990 Duffy, 2000, A review of a family of self-deploying tensegrity structures with elastic ties, The Shock and Vibration Digest, 32, 100, 10.1177/058310240003200202 Emmerich, 1988 Emmerich, 1996, Emmerich on self-tensioning structures, International Journal of Space Structures, 11, 29, 10.1177/026635119601-205 Estrada, 2006, Numerical form-finding of tensegrity structures, International Journal of Solids and Structures, 43, 6855, 10.1016/j.ijsolstr.2006.02.012 Fest, 2004, Active tensegrity structure, Journal of Structural Engineering, 130, 1454, 10.1061/(ASCE)0733-9445(2004)130:10(1454) Frantsevich, 2002, Arcus as a tensegrity structure in the arolium of wasps (Hymenoptera: Vespidae), Zoology, 105, 225, 10.1078/0944-2006-00067 Fuller, 1962 Fung, 1993, Elementary mechanics of the endothelium of blood vessels, ASME Journal of Biomechanical Engineering, 115, 1, 10.1115/1.2895465 Furuya, 1992, Concept of deployable tensegrity structures in space application, International Journal of Space Structures, 7, 143, 10.1177/026635119200700207 Gawronski, 2004 Gawronski, 1997, Response errors of non-proportionally lightly damped structures, Journal of Sound and Vibration, 200, 543, 10.1006/jsvi.1996.0682 Gittes, 1993, Flexural rigidity of microtubules and actin filaments measured from thermal fluctuations shape, Journal of Cell Biology, 120, 923, 10.1083/jcb.120.4.923 Guest, 2007, Symmetry conditions and finite mechanisms, Journal of Mechanics of Materials and Structures, 2, 293, 10.2140/jomms.2007.2.293 Hanaor, 1988, Prestressed pin-jointed structures—flexibility analysis and prestress design, Computers & Structures, 28, 757, 10.1016/0045-7949(88)90416-6 Hanaor, 1992, Aspects of design of double layer tensegrity domes, International Journal of Space Structures, 7, 101, 10.1177/026635119200700204 Hanaor, 1993, Double-layer tensegrity grids as deployable structures, International Journal of Space Structures, 8, 135, 10.1177/0266351193008001-214 Ingber, 1993, Cellular tensegrity: defining new rules of biological design that govern the cytoskeleton, Journal of Cell Science, 104, 613, 10.1242/jcs.104.3.613 Ingber, 1998, The architecture of life, Scientific American, 248, 48, 10.1038/scientificamerican0198-48 Janmey, 1991, Viscoelastic properties of vimentin compared with other filamentous biopolymer networks, Journal of Cell Biology, 113, 155, 10.1083/jcb.113.1.155 Jensen, 2007, Finite element analysis of tensegrity structures in offshore aquaculture installations, Aquacultural Engineering, 36, 272, 10.1016/j.aquaeng.2007.01.001 Juan, 2008, Tensegrity frameworks: static analysis review, Mechanism and Machine Theory, 43, 859, 10.1016/j.mechmachtheory.2007.06.010 Kahla, 2000, Nonlinear elastoplastic analysis of tensegrity systems, Engineering Structures, 23, 1552, 10.1016/S0141-0296(99)00088-7 Kanchanasaratool, 2002, Modeling and control of class NSP tensegrity structures, International Journal of Control, 75, 123, 10.1080/00207170110070563 Kauffman, 1993, The metal with a memory, American Heritage's Invention & Technology, 9, 18 Kebiche, 1999, Geometrical nonlinear analysis of tensegrity systems, Engineering Structures, 21, 864, 10.1016/S0141-0296(98)00014-5 Kenner, 1976 Knight, 2000 Kono, 1999, An experimental investigation of a type of double-layer tensegrity grids, Journal of the International Association for Shell and Spatial Structures, 40, 103 Kottamasu, 1997, 363 Lazopoulos, 2004, Stability of an elastic cytoskeletal tensegrity model, International Journal of Solids and Structures, 42, 3459, 10.1016/j.ijsolstr.2004.11.008 Lazopoulos, 2005, On the elastica solution of a tensegrity structure: application to cell mechanics, Acta Mechanica, 182, 253, 10.1007/s00707-005-0288-1 Lazzari, 2003, Dynamic behavior of a tensegrity system subjected to follower wind loading, Computers & Structures, 81, 2199, 10.1016/S0045-7949(03)00291-8 Ma, 1999, Keratin filament suspensions show unique micromechanical properties, Journal of Biological Chemistry, 274, 19145, 10.1074/jbc.274.27.19145 Maina, 2007, Spectacularly robust! Tensegrity principle explains the mechanical strength of the avian lung, Respiratory Physiology & Neurobiology, 115, 1, 10.1016/j.resp.2006.05.005 Marks, 1973 Masic, 2005, Path planning and open-loop shape control of modular tensegrity structures, Journal of Guidance, Control, and Dynamics, 28, 421, 10.2514/1.6872 Masic, 2005, Algebraic tensegrity form-finding, International Journal of Solids and Structures, 42, 4833, 10.1016/j.ijsolstr.2005.01.014 Masic, 2006, Optimization of tensegrity structures, International Journal of Solids and Structures, 43, 4687, 10.1016/j.ijsolstr.2005.07.046 Maxwell, 1864, On the calculation of equilibrium and stiffness of frames, Philosophical Magazine, 27, 294 Medeuil, 1988, Evolution des simulaterurs d'avions civils, Onde Electrique, 68, 35 Micheletti, 2005 Moored, 2007, The analysis of tensegrity structures for the design of a morphing wing, Journal of Applied Mechanics, 74, 668, 10.1115/1.2424718 Motro, 1984 Motro, 1990, Tensegrity systems and geodesic domes, International Journal of Space Structures, 5, 341, 10.1177/026635119000500315 Motro, 1992, Tensegrity structures. The state of the art, International Journal of Space Structures, 7, 75, 10.1177/026635119200700201 Motro, 1996, Structural morphology of tensegrity systems, International Journal of Space Structures, 11, 25 Motro, 2003 Motro, 1986 Murakami, 2001, Static and dynamic analyses of tensegrity structures. Part I. Nonlinear equations of motion, International Journal of Solids and Structures, 38, 3599, 10.1016/S0020-7683(00)00232-8 Murakami, 2001, Static and dynamic analyses of tensegrity structures. Part II. Quasi-static analysis, International Journal of Solids and Structures, 38, 3615, 10.1016/S0020-7683(00)00233-X Murakami, 2001, Static and dynamic characterization of regular truncated icosahedral and dodecahedral tensegrity modules, International Journal of Solids and Structures, 38, 9359, 10.1016/S0020-7683(01)00030-0 Murakami, 2001, Initial shape-finding and modal analyses of cyclic right-cylindrical tensegrity modules, Computers & Structures, 79, 891, 10.1016/S0045-7949(00)00196-6 Nishimura, 2001, Initial shape-finding and modal analyses of cyclic frustum tensegrity modules, Computer Methods in Applied Mechanics and Engineering, 190, 5795, 10.1016/S0045-7825(01)00198-0 Oppenheim, 2000, Geometric effects in an elastic tensegrity structure, Journal of Elasticity, 59, 51, 10.1023/A:1011092811824 Oppenheim, 2001, Vibration and damping in tensegrity structures, ASCE Journal of Aerospace Engineering, 14, 85, 10.1061/(ASCE)0893-1321(2001)14:3(85) Oppenheim, 2001, Vibration of an elastic tensegrity structure, European Journal of Mechanics A/Solids, 20, 1023, 10.1016/S0997-7538(01)01181-0 Park, 1994, Characteristics of modal decoupling in non-classically damped systems under harmonic excitation, Journal of Applied Mechanics, 61, 77, 10.1115/1.2901425 Paul, 2006, Design and control of tensegrity robots for locomotion, IEEE Transactions on Robotics, 22, 944, 10.1109/TRO.2006.878980 Pellegrino, 1986 Pellegrino, 1992, A class of tensegrity domes, International Journal of Space Structures, 7, 127, 10.1177/026635119200700206 Pellegrino, 1986, Matrix analysis of statically and kinematically indetermined frameworks, International Journal of Solids and Structures, 22, 409, 10.1016/0020-7683(86)90014-4 Pugh, 1976 Quirant, 2003, Designing tensegrity systems: the case of a double layer grid, International Journal of Solids and Structures, 25, 1121 Roth, 1981, Tensegrity frameworks, Transactions of the American Mathematical Society, 265, 419, 10.1090/S0002-9947-1981-0610958-6 Sadao, 1996, Fuller on tensegrity, International Journal of Space Structures, 11, 37, 10.1177/026635119601-206 Schenk, 2007, Zero stiffness tensegrity structures, International Journal of Solids and Structures, 44, 6569, 10.1016/j.ijsolstr.2007.02.041 Scruggs, 2006 Shea, 2002, Developing intelligent tensegrity structures with stochastic search, Advanced Engineering Informatics, 16, 21, 10.1016/S1474-0346(02)00003-4 Shroff, 1995, Dynamic micromechanical properties of cultured rat arterial myocytes measured by atomic force microscopy, American Journal of Physiology: Cell Physiology, 269, C268, 10.1152/ajpcell.1995.269.1.C286 Skelton, 2001, Dynamics of the shell class of tensegrity structures, Journal of the Franklin Institute, 338, 255, 10.1016/S0016-0032(00)00078-8 Skelton, 1997, 166 Snelson, 1965 Snelson, 1996, Snelson on the tensegrity invention, International Journal of Space Structures, 11, 43, 10.1177/026635119601-207 Stamenovic, 1999, The role of prestress and architecture of the cytoskeleton and deformability of cytoskeletal filaments in mechanics of adherent cells: a quantitative analysis, Journal of Theoretical Biology, 201, 63, 10.1006/jtbi.1999.1014 Stamenovic, 2000, A quantitative model of cellular elasticity based on tensegrity, Journal of Theoretical Biology, 122, 39 Stamenovic, 1996, A microstructural approach to cytoskeletal mechanics based on tensegrity, Journal of Theoretical Biology, 181, 125, 10.1006/jtbi.1996.0120 Sultan, 1999 Sultan, 2006 Sultan, 2008 Sultan, 2009, Designing structures for dynamic properties via natural frequencies separation. Application to tensegrity structures design, Mechanical Systems and Signal Processing, 23, 1112, 10.1016/j.ymssp.2008.08.014 Sultan, 1999, 190 Sultan, 2000, Tensegrity flight simulator, Journal of Guidance, Control, and Dynamics, 23, 1055, 10.2514/2.4647 Sultan, 2001, The prestressability problem of tensegrity structures. Some analytical solutions, International Journal of Solids and Structures, 38–39, 5223, 10.1016/S0020-7683(00)00401-7 Sultan, 2002, Symmetrical reconfiguration of tensegrity structures, International Journal of Solids and Structures, 39, 2215, 10.1016/S0020-7683(02)00100-2 Sultan, 2002, Linear dynamics of tensegrity structures, Engineering Structures, 26, 671, 10.1016/S0141-0296(01)00130-4 Sultan, 2004, A computational tensegrity model explains dynamic rheological behaviors of living cells, Annals of Biomedical Engineering, 32, 520, 10.1023/B:ABME.0000019171.26711.37 Sultan, 1997, 27 Sultan, 1998, 357 Sultan, 1998, 455 Sultan, 2003, Tensegrity structures prestressability investigation, International Journal of Space Structures, 18, 15, 10.1260/026635103769016609 Sultan, 2003, Deployment of tensegrity structures, International Journal of Solids and Structures, 40, 4637, 10.1016/S0020-7683(03)00267-1 Sultan, 2004, A force and torque tensegrity sensor, Sensors and Actuators Journal A: Physical, 112, 220, 10.1016/j.sna.2004.01.039 Tarnai, 1980, Simultaneous static and kinematic indeterminacy of space trusses with cyclic symmetry, International Journal of Solids and Structures, 16, 347, 10.1016/0020-7683(80)90087-6 Thoumine, 1997, Time scale dependent viscoelastic and contractile regimes in fibroblasts probed by microplate manipulation, Journal of Cell Science, 110, 2109, 10.1242/jcs.110.17.2109 Tibert, 2002, Deployable tensegrity reflectors for small satellites, Journal of Spacecraft and Rockets, 39, 701, 10.2514/2.3867 Tibert, 2003, Review of form-finding methods for tensegrity structures, International Journal of Space Structures, 18, 209, 10.1260/026635103322987940 Tibert, 2003 Vassart, 2000, Determination of mechanism's order for kinematically and statically indeterminate systems, International Journal of Solids and Structures, 37, 3807, 10.1016/S0020-7683(99)00178-X Vassart, 1999, Multiparametered form-finding method: application to tensegrity systems, International Journal of Space Structures, 14, 147, 10.1260/0266351991494768 Volokh, 2000, Tensegrity architecture explains linear stiffening and predicts softening of living cells, Journal of Biomechanics, 33, 1543, 10.1016/S0021-9290(00)00157-3 Wang, 1998, Cable-strut systems: part I—tensegrity, Journal of Construction Steel Research, 45, 281, 10.1016/S0143-974X(97)00075-8 Wang, 2004 Wang, 1996, Integral tension research in double layer tensegrity grids, International Journal of Space Structures, 11, 349, 10.1177/026635119601100401 Wang, 2001, Mechanical behavior in living cells consistent with the tensegrity model, Proceedings of the National Academy of Sciences of the United States of America, 98, 7765, 10.1073/pnas.141199598 Wendling, 2003, Towards a generalized tensegrity model describing the mechanical behaviour of the cytoskeleton structure, Computer Methods in Biomechanics and Biomedical Engineering, 6, 45, 10.1080/1025584021000059413 Wendling, 1999, Stiffening linear response of a cellular tensegrity model, Journal of Theoretical Biology, 196, 309, 10.1006/jtbi.1998.0841 Yeung, 1989, Cortical shell-liquid core model for passive flow of liquid-like spherical cells into micropipettes, Biophysical Journal, 56, 139, 10.1016/S0006-3495(89)82659-1 Zanotti, 2003, Is tensegrity a unifying concept of protein folds?, FEBS Letters, 534, 7, 10.1016/S0014-5793(02)03853-X Zenieh, 1997, Simple robust r − α tracking controllers for uncertain fully actuated mechanical systems, Journal of Dynamic Systems, Measurement, and Control, 119, 821, 10.1115/1.2802397 Zhang, 2006, Form-finding of nonregular tensegrity systems, Journal of Structural Engineering, 132, 1435, 10.1061/(ASCE)0733-9445(2006)132:9(1435) Zhang, 2006, Adaptive force density method for form-finding problem of tensegrity structures, International Journal of Solids and Structures, 43, 5658, 10.1016/j.ijsolstr.2005.10.011 Zhang, 2006, A direct approach to design of geometry and forces of tensegrity systems, International Journal of Solids and Structures, 43, 2260, 10.1016/j.ijsolstr.2005.04.044