References

The bibliography below is generated from docs/references.bib by sphinxcontrib-bibtex; every entry is cited from the text.

Note

Bibliographic details (volume, issue, page range, DOI) were checked against publisher or indexing records at the time of writing. Anyone reusing this list in a submission should re-verify them against the publisher of record, which is routine practice and takes a few minutes with a reference manager.

[Balli and Chand, 2002]

Shrinivas S. Balli and Satish Chand. Transmission angle in mechanisms (triangle in mech). Mechanism and Machine Theory, 37(2):175–195, 2002. doi:10.1016/S0094-114X(01)00067-2.

[Belotti et al., 2013]

Pietro Belotti, Christian Kirches, Sven Leyffer, Jeff Linderoth, James Luedtke, and Ashutosh Mahajan. Mixed-integer nonlinear optimization. Acta Numerica, 22:1–131, 2013. doi:10.1017/S0962492913000032.

[Benders, 1962]

Jacobus F. Benders. Partitioning procedures for solving mixed-variables programming problems. Numerische Mathematik, 4(1):238–252, 1962. doi:10.1007/BF01386316.

[Bendsøe, 1989]

Martin P. Bendsøe. Optimal shape design as a material distribution problem. Structural Optimization, 1(4):193–202, 1989. doi:10.1007/BF01650949.

[Beyer and Sendhoff, 2007]

Hans-Georg Beyer and Bernhard Sendhoff. Robust optimization – a comprehensive survey. Computer Methods in Applied Mechanics and Engineering, 196(33–34):3190–3218, 2007. doi:10.1016/j.cma.2007.03.003.

[Bruyneel, 2011]

Michael Bruyneel. SFP – a new parameterization based on shape functions for optimal material selection: application to conventional composite plies. Structural and Multidisciplinary Optimization, 43(1):17–27, 2011. doi:10.1007/s00158-010-0548-0.

[Cabrera et al., 2002]

J. A. Cabrera, A. Simón, and M. Prado. Optimal synthesis of mechanisms with genetic algorithms. Mechanism and Machine Theory, 37(10):1165–1177, 2002. doi:10.1016/S0094-114X(02)00051-4.

[Cramer et al., 1994]

Evin J. Cramer, J. E. Dennis, Paul D. Frank, Robert Michael Lewis, and Gregory R. Shubin. Problem formulation for multidisciplinary optimization. SIAM Journal on Optimization, 4(4):754–776, 1994. doi:10.1137/0804044.

[Danskin, 1966]

John M. Danskin. The theory of max-min, with applications. SIAM Journal on Applied Mathematics, 14(4):641–664, 1966. doi:10.1137/0114053.

[Deb et al., 2002]

Kalyanmoy Deb, Amrit Pratap, Sameer Agarwal, and T. Meyarivan. A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation, 6(2):182–197, 2002. doi:10.1109/4235.996017.

[Ditlevsen, 1979]

Ove Ditlevsen. Narrow reliability bounds for structural systems. Journal of Structural Mechanics, 7(4):453–472, 1979. doi:10.1080/03601217908905329.

[Du and Chen, 2004]

Xiaoping Du and Wei Chen. Sequential optimization and reliability assessment method for efficient probabilistic design. Journal of Mechanical Design, 126(2):225–233, 2004. doi:10.1115/1.1649968.

[Dumböck et al., 2018]

Ortwin Dumböck, Eberhard Schutting, and Helmut Eichlseder. Extended expansion linkage engine: a concept to increase the efficiency. Automotive and Engine Technology, 3(1–2):83–92, 2018. doi:10.1007/s41104-018-0029-9.

[Duran and Grossmann, 1986]

Marco A. Duran and Ignacio E. Grossmann. An outer-approximation algorithm for a class of mixed-integer nonlinear programs. Mathematical Programming, 36(3):307–339, 1986. doi:10.1007/BF02592064.

[Fletcher and Leyffer, 1994]

Roger Fletcher and Sven Leyffer. Solving mixed integer nonlinear programs by outer approximation. Mathematical Programming, 66(1–3):327–349, 1994. doi:10.1007/BF01581153.

[Gallard et al., 2018]

François Gallard, Charlie Vanaret, Damien Guénot, Vincent Gachelin, Rémi Lafage, Benoit Pauwels, Pierre-Jean Barjhoux, and Anne Gazaix. GEMS: a Python library for automation of multidisciplinary design optimization process generation. In 2018 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. 2018. AIAA Paper 2018-0657. doi:10.2514/6.2018-0657.

[Gechev and Punov, 2020]

Tsvetomir Gechev and Plamen Punov. Driving strategy for minimal energy consumption of an ultra-energy-efficient vehicle in Shell Eco-marathon competition. IOP Conference Series: Materials Science and Engineering, 1002:012018, 2020. doi:10.1088/1757-899X/1002/1/012018.

[Genz, 1992]

Alan Genz. Numerical computation of multivariate normal probabilities. Journal of Computational and Graphical Statistics, 1(2):141–149, 1992. doi:10.1080/10618600.1992.10477010.

[Geoffrion, 1972]

Arthur M. Geoffrion. Generalized Benders decomposition. Journal of Optimization Theory and Applications, 10(4):237–260, 1972. doi:10.1007/BF00934810.

[Gosselin and Angeles, 1990]

Clément M. Gosselin and Jorge Angeles. Singularity analysis of closed-loop kinematic chains. IEEE Transactions on Robotics and Automation, 6(3):281–290, 1990. doi:10.1109/70.56660.

[Griewank and Walther, 2008]

Andreas Griewank and Andrea Walther. Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation. SIAM, Philadelphia, 2 edition, 2008. doi:10.1137/1.9780898717761.

[Hasofer and Lind, 1974]

Abraham M. Hasofer and Niels C. Lind. Exact and invariant second-moment code format. Journal of the Engineering Mechanics Division, ASCE, 100(1):111–121, 1974. doi:10.1061/JMCEA3.0001848.

[Heywood, 1988]

John B. Heywood. Internal Combustion Engine Fundamentals. McGraw-Hill, New York, 1988.

[Kim et al., 2007]

Yoon Young Kim, Gang-Won Jang, Jung Hun Park, Jung Sun Hyun, and Seung Jae Nam. Automatic synthesis of a planar linkage mechanism with revolute joints by using spring-connected rigid block models. Journal of Mechanical Design, 129(9):930–940, 2007. doi:10.1115/1.2747636.

[Kraft, 1988]

Dieter Kraft. A software package for sequential quadratic programming. Technical Report DFVLR-FB 88-28, DFVLR, Institut für Dynamik der Flugsysteme, Oberpfaffenhofen, 1988.

[Martins and Hwang, 2013]

Joaquim R. R. A. Martins and John T. Hwang. Review and unification of methods for computing derivatives of multidisciplinary computational models. AIAA Journal, 51(11):2582–2599, 2013. doi:10.2514/1.J052184.

[Martins and Lambe, 2013]

Joaquim R. R. A. Martins and Andrew B. Lambe. Multidisciplinary design optimization: a survey of architectures. AIAA Journal, 51(9):2049–2075, 2013. doi:10.2514/1.J051895.

[Martins et al., 2003]

Joaquim R. R. A. Martins, Peter Sturdza, and Juan J. Alonso. The complex-step derivative approximation. ACM Transactions on Mathematical Software, 29(3):245–262, 2003. doi:10.1145/838250.838251.

[Milgrom and Segal, 2002]

Paul Milgrom and Ilya Segal. Envelope theorems for arbitrary choice sets. Econometrica, 70(2):583–601, 2002. doi:10.1111/1468-0262.00296.

[Nocedal and Wright, 2006]

Jorge Nocedal and Stephen J. Wright. Numerical Optimization. Springer, New York, 2 edition, 2006. doi:10.1007/978-0-387-40065-5.

[Powell, 1994]

Michael J. D. Powell. A direct search optimization method that models the objective and constraint functions by linear interpolation. In Susana Gomez and Jean-Pierre Hennart, editors, Advances in Optimization and Numerical Analysis, volume 275 of Mathematics and Its Applications, pages 51–67. Kluwer Academic Publishers, Dordrecht, 1994. doi:10.1007/978-94-015-8330-5_4.

[Rackwitz and Fiessler, 1978]

Rüdiger Rackwitz and Bernd Fiessler. Structural reliability under combined random load sequences. Computers & Structures, 9(5):489–494, 1978. doi:10.1016/0045-7949(78)90046-9.

[Rinnooy Kan and Timmer, 1987]

Alexander H. G. Rinnooy Kan and Gerrit T. Timmer. Stochastic global optimization methods part II: multi level methods. Mathematical Programming, 39(1):57–78, 1987. doi:10.1007/BF02592071.

[Sobieszczanski-Sobieski, 1990]

Jaroslaw Sobieszczanski-Sobieski. Sensitivity of complex, internally coupled systems. AIAA Journal, 28(1):153–160, 1990. doi:10.2514/3.10366.

[Sobieszczanski-Sobieski et al., 2000]

Jaroslaw Sobieszczanski-Sobieski, Jeremy S. Agte, and Robert R. Sandusky. Bilevel integrated system synthesis. AIAA Journal, 38(1):164–172, 2000. doi:10.2514/2.937.

[Stegmann and Lund, 2005]

Jan Stegmann and Erik Lund. Discrete material optimization of general composite shell structures. International Journal for Numerical Methods in Engineering, 62(14):2009–2027, 2005. doi:10.1002/nme.1259.

[Tran and Jang, 2024]

Quang Dat Tran and Gang-Won Jang. Topology optimization of linkage mechanisms using spring-connected link model. Structural and Multidisciplinary Optimization, 2024. doi:10.1007/s00158-024-03857-0.

[Tu et al., 1999]

Jian Tu, Kyung K. Choi, and Young H. Park. A new study on reliability-based design optimization. Journal of Mechanical Design, 121(4):557–564, 1999. doi:10.1115/1.2829499.

[Valdebenito and Schüller, 2010]

Marcos A. Valdebenito and Gerhart I. Schüller. A survey on approaches for reliability-based optimization. Structural and Multidisciplinary Optimization, 42(5):645–663, 2010. doi:10.1007/s00158-010-0518-6.

[Watanabe et al., 2006]

Shunsuke Watanabe, Hiroshi Koga, and Shigeru Kono. Research on extended expansion general-purpose engine: theoretical analysis of multiple linkage system and improvement of thermal efficiency. In SAE Technical Paper Series. 2006. SAE Paper 2006-32-0101. doi:10.4271/2006-32-0101.

[Yim et al., 2019]

Nam Heui Yim, Soo Won Kang, and Yoon Young Kim. Topology optimization of planar gear-linkage mechanisms. Journal of Mechanical Design, 141(3):032301, 2019. doi:10.1115/1.4042212.

[Zhao, 2017]

Jinxing Zhao. Research and application of over-expansion cycle (Atkinson and Miller) engines – a review. Applied Energy, 185:300–319, 2017. doi:10.1016/j.apenergy.2016.10.063.

[ISO, 2010]

ISO. ISO 286-1:2010, Geometrical product specifications (GPS) – ISO code system for tolerances on linear sizes – Part 1: Basis of tolerances, deviations and fits. International Organization for Standardization, Geneva, 2010.