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Erschienen in: Structural and Multidisciplinary Optimization 3/2010

01.09.2010 | Research Paper

Topology optimization for designing strain-gauge load cells

verfasst von: Akihiro Takezawa, Shinji Nishiwaki, Mitsuru Kitamura, Emílio C. N. Silva

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 3/2010

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Abstract

Load cells are used extensively in engineering fields. This paper describes a novel structural optimization method for single- and multi-axis load cell structures. First, we briefly explain the topology optimization method that uses the solid isotropic material with penalization (SIMP) method. Next, we clarify the mechanical requirements and design specifications of the single- and multi-axis load cell structures, which are formulated as an objective function. In the case of multi-axis load cell structures, a methodology based on singular value decomposition is used. The sensitivities of the objective function with respect to the design variables are then formulated. On the basis of these formulations, an optimization algorithm is constructed using finite element methods and the method of moving asymptotes (MMA). Finally, we examine the characteristics of the optimization formulations and the resultant optimal configurations. We confirm the usefulness of our proposed methodology for the optimization of single- and multi-axis load cell structures.

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Literatur
Zurück zum Zitat Allaire G (2001) Shape Optimization by the Homogenization method. Springer, New York Allaire G (2001) Shape Optimization by the Homogenization method. Springer, New York
Zurück zum Zitat Bayo E, Stubbe JR (1989) Six-axis force sensor evaluation and a new type of optimal frame truss design for robotic applications. J Robot Syst 6(2):191–208CrossRefMATH Bayo E, Stubbe JR (1989) Six-axis force sensor evaluation and a new type of optimal frame truss design for robotic applications. J Robot Syst 6(2):191–208CrossRefMATH
Zurück zum Zitat Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1(4):193–202CrossRef Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1(4):193–202CrossRef
Zurück zum Zitat Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71(2):197–224CrossRef Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71(2):197–224CrossRef
Zurück zum Zitat Bendsøe MP, Sigmund O (1999) Material interpolation schemes in topology optimization. Arch Appl Mech 69(9):635–654CrossRef Bendsøe MP, Sigmund O (1999) Material interpolation schemes in topology optimization. Arch Appl Mech 69(9):635–654CrossRef
Zurück zum Zitat Bendsøe MP, Sigmund O (2003) Topology optimization: theory, methods, and applications. Springer, Berlin Bendsøe MP, Sigmund O (2003) Topology optimization: theory, methods, and applications. Springer, Berlin
Zurück zum Zitat Canfield S, Frecker M (2000) Topology optimization of compliant mechanical amplifiers for piezoelectric actuators. Struct Multidisc Optim 20(4):269–279CrossRef Canfield S, Frecker M (2000) Topology optimization of compliant mechanical amplifiers for piezoelectric actuators. Struct Multidisc Optim 20(4):269–279CrossRef
Zurück zum Zitat Chao LP, Chen KT (1997) Shape optimal design and force sensitivity evaluation of six-axis force sensors. Sens Actuator Phys 63(2):105–112CrossRefMathSciNet Chao LP, Chen KT (1997) Shape optimal design and force sensitivity evaluation of six-axis force sensors. Sens Actuator Phys 63(2):105–112CrossRefMathSciNet
Zurück zum Zitat Diaz A, Sigmund O (1995) Checkerboard patterns in layout optimization. Struct Optim 10(1):40–45CrossRef Diaz A, Sigmund O (1995) Checkerboard patterns in layout optimization. Struct Optim 10(1):40–45CrossRef
Zurück zum Zitat Golub GH, Van Loan CF (1996) Matrix computations, 3rd edn. Johns Hopkins University Press, BaltimoreMATH Golub GH, Van Loan CF (1996) Matrix computations, 3rd edn. Johns Hopkins University Press, BaltimoreMATH
Zurück zum Zitat Guest JK, Prévost JH, Belytschko T (2004) Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Int J Numer Methods Eng 61(2):238–254CrossRefMATH Guest JK, Prévost JH, Belytschko T (2004) Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Int J Numer Methods Eng 61(2):238–254CrossRefMATH
Zurück zum Zitat Haug EJ, Choi KK, Komkov V (1986) Design sensitivity analysis of structural systems. Academic, OrlandoMATH Haug EJ, Choi KK, Komkov V (1986) Design sensitivity analysis of structural systems. Academic, OrlandoMATH
Zurück zum Zitat Kaneko M (1996) Twin-head six-axis force sensors. IEEE Trans Robot Autom 12(1):146–154CrossRef Kaneko M (1996) Twin-head six-axis force sensors. IEEE Trans Robot Autom 12(1):146–154CrossRef
Zurück zum Zitat Kim GS, Lee HD (2003) Development of a six-axis force/moment sensor and its control system for an intelligent robot’s gripper. Meas Sci Technol 14:1265–1274CrossRef Kim GS, Lee HD (2003) Development of a six-axis force/moment sensor and its control system for an intelligent robot’s gripper. Meas Sci Technol 14:1265–1274CrossRef
Zurück zum Zitat Kim JA, Bae EW, Kim SH, Kwak YK (2002) Design methods for six-degree-of-freedom displacement measurement systems using cooperative targets. Precis Eng 26:99–104CrossRef Kim JA, Bae EW, Kim SH, Kwak YK (2002) Design methods for six-degree-of-freedom displacement measurement systems using cooperative targets. Precis Eng 26:99–104CrossRef
Zurück zum Zitat Krog LA, Olhoff N (1999) Optimum topology and reinforcement design of disk and plate structures with multiple stiffness and eigenfrequency objectives. Comput Struct 72(4–5):535–563CrossRefMATH Krog LA, Olhoff N (1999) Optimum topology and reinforcement design of disk and plate structures with multiple stiffness and eigenfrequency objectives. Comput Struct 72(4–5):535–563CrossRefMATH
Zurück zum Zitat Liu SA, Tzo HL (2002) A novel six-component force sensor of good measurement isotropy and sensitivities. Sens Actuator Phys 100(2–3):223–230CrossRef Liu SA, Tzo HL (2002) A novel six-component force sensor of good measurement isotropy and sensitivities. Sens Actuator Phys 100(2–3):223–230CrossRef
Zurück zum Zitat Ma ZD, Kikuchi N, Cheng HC (1995) Topological design for vibrating structures. Comput Methods Appl Mech Eng 121(1–4):259–280CrossRefMathSciNetMATH Ma ZD, Kikuchi N, Cheng HC (1995) Topological design for vibrating structures. Comput Methods Appl Mech Eng 121(1–4):259–280CrossRefMathSciNetMATH
Zurück zum Zitat Matsui K, Terada K (2004) Continuous approximation of material distribution for topology optimization. Int J Numer Methods Eng 59:1925–1944CrossRefMathSciNetMATH Matsui K, Terada K (2004) Continuous approximation of material distribution for topology optimization. Int J Numer Methods Eng 59:1925–1944CrossRefMathSciNetMATH
Zurück zum Zitat Nishiwaki S, Frecker MI, Min S, Kikuchi N (1998) Topology optimization of compliant mechanisms using the homogenization method. Int J Numer Methods Eng 42:535–559CrossRefMathSciNetMATH Nishiwaki S, Frecker MI, Min S, Kikuchi N (1998) Topology optimization of compliant mechanisms using the homogenization method. Int J Numer Methods Eng 42:535–559CrossRefMathSciNetMATH
Zurück zum Zitat Park JJ, Kim GS (2005) Development of the 6-axis force/moment sensor for an intelligent robot’s gripper. Sens Actuator Phys 118(1):127–134CrossRef Park JJ, Kim GS (2005) Development of the 6-axis force/moment sensor for an intelligent robot’s gripper. Sens Actuator Phys 118(1):127–134CrossRef
Zurück zum Zitat Pedersen NL (2000) Maximization of eigenvalues using topology optimization. Struct Multidisc Optim 20(1):2–11CrossRef Pedersen NL (2000) Maximization of eigenvalues using topology optimization. Struct Multidisc Optim 20(1):2–11CrossRef
Zurück zum Zitat Pedersen CBW (2004) Crashworthiness design of transient frame structures using topology optimization. Comput Methods Appl Mech Eng 193(6–8):653–678CrossRefMATH Pedersen CBW (2004) Crashworthiness design of transient frame structures using topology optimization. Comput Methods Appl Mech Eng 193(6–8):653–678CrossRefMATH
Zurück zum Zitat Rubio WM, Silva ECN, Nishiwaki S (2008) Piezoresistive sensor design using topology optimization. Struct Multidisc Optim 36(6):571–583CrossRef Rubio WM, Silva ECN, Nishiwaki S (2008) Piezoresistive sensor design using topology optimization. Struct Multidisc Optim 36(6):571–583CrossRef
Zurück zum Zitat Seyranian AP, Lund E, Olhoff N (1994) Multiple eigenvalues in structural optimization problems. Struct Optim 8(4):207–227CrossRef Seyranian AP, Lund E, Olhoff N (1994) Multiple eigenvalues in structural optimization problems. Struct Optim 8(4):207–227CrossRef
Zurück zum Zitat Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mech Struct Mach 25(4):493–524CrossRef Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mech Struct Mach 25(4):493–524CrossRef
Zurück zum Zitat Sigmund O (2001) Design of multiphysics actuators using topology optimization–part i: one-material structures. Comput Methods Appl Mech Eng 190(49–50):6577–6604CrossRefMATH Sigmund O (2001) Design of multiphysics actuators using topology optimization–part i: one-material structures. Comput Methods Appl Mech Eng 190(49–50):6577–6604CrossRefMATH
Zurück zum Zitat Sigmund O (2007) Morphology-based black and white filters for topology optimization. Struct Multidisc Optim 33(4):401–424CrossRef Sigmund O (2007) Morphology-based black and white filters for topology optimization. Struct Multidisc Optim 33(4):401–424CrossRef
Zurück zum Zitat Sigmund O, Petersson J (1998) Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Struct Optim 16(1):68–75CrossRef Sigmund O, Petersson J (1998) Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Struct Optim 16(1):68–75CrossRef
Zurück zum Zitat Silva ECN, Nishiwaki S, Kikuchi N (2000) Topology optimization design of flextensional actuators. IEEE Trans Ultrason Ferroelectr Freq Control 47(3):657–671CrossRef Silva ECN, Nishiwaki S, Kikuchi N (2000) Topology optimization design of flextensional actuators. IEEE Trans Ultrason Ferroelectr Freq Control 47(3):657–671CrossRef
Zurück zum Zitat Suzuki K, Kikuchi N (1991) A homogenization method for shape and topology optimization. Comput Methods Appl Mech Eng 93(3):291–318CrossRefMATH Suzuki K, Kikuchi N (1991) A homogenization method for shape and topology optimization. Comput Methods Appl Mech Eng 93(3):291–318CrossRefMATH
Zurück zum Zitat Svanberg K (1987) The method of moving asymptotes- a new method for structural optimization. Int J Numer Methods Eng 24(2):359–373CrossRefMathSciNetMATH Svanberg K (1987) The method of moving asymptotes- a new method for structural optimization. Int J Numer Methods Eng 24(2):359–373CrossRefMathSciNetMATH
Zurück zum Zitat Uchiyama M, Bayo E, Palma-Villalon E (1991a) A systematic design procedure to minimize a performance index for robot force sensors. J Dyn Syst Meas Control 113:388–394CrossRef Uchiyama M, Bayo E, Palma-Villalon E (1991a) A systematic design procedure to minimize a performance index for robot force sensors. J Dyn Syst Meas Control 113:388–394CrossRef
Zurück zum Zitat Uchiyama M, Nakamura Y, Hakomori K (1991b) Evaluation of the robot force sensor structure using singular value decomposition. Adv. Robot 5(1):39–52CrossRef Uchiyama M, Nakamura Y, Hakomori K (1991b) Evaluation of the robot force sensor structure using singular value decomposition. Adv. Robot 5(1):39–52CrossRef
Zurück zum Zitat Weiblen W, Hofmann T (1998) Evaluation of different designs of wheel force transducers. SAE Paper (980262):1–10 Weiblen W, Hofmann T (1998) Evaluation of different designs of wheel force transducers. SAE Paper (980262):1–10
Zurück zum Zitat Zhou M, Rozvany GIN (1991) The coc algorithm. II: topological, geometrical and generalized shape optimization. Comput Methods Appl Mech Eng 89(1–3):309–336 Zhou M, Rozvany GIN (1991) The coc algorithm. II: topological, geometrical and generalized shape optimization. Comput Methods Appl Mech Eng 89(1–3):309–336
Metadaten
Titel
Topology optimization for designing strain-gauge load cells
verfasst von
Akihiro Takezawa
Shinji Nishiwaki
Mitsuru Kitamura
Emílio C. N. Silva
Publikationsdatum
01.09.2010
Verlag
Springer-Verlag
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 3/2010
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-010-0491-0

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