References
[1]. Alavi, A., Rahgozar, R., Torkzadeh, P., & Hajabasi, M. A.
(2017). Optimal design of high rise buildings with respect
to fundamental eigen frequency. International Journal of
Advanced Structural Engineering, 9(4), 365-374. https://
doi.org/10.1007/s40091-017-0172-y
[2]. Allaire, G., Jouve, F., & Toader, A. M. (2004). Structural
optimization using sensitivity analysis and a level-set
method. Journal of Computational Physics, 194(1), 363-
393.
[3]. Angulo, C., Vadillo, E. G., & Canales, J. (1994).
Optimization of structures with frequency and mode
shape constraints. Engineering Computations, 11(1), 81-
91.
[4]. Augusto, O. B., Bennis, F., & Caro, S. (2012). Multi
objective engineering design optimization problems: A
sensitivity analysis approach. Pesquisa Operacional,
32(3), 575-596.
[5]. Challis, V. J. (2010). A discrete level-set topology
optimization code written in Matlab. Structural and Multi
Disciplinary Optimization, 41(3), 453-464. https:/doi.org/
10.1007/s00158-009-0430-0
[6]. Karadelis, J. N. (2010). Advanced computational
methods and solutions in civil and structural engineering
(Doctoral dissertation). Coventry University, England.
[7]. Kingman, J., Tsavdaridis, K. D., & Toropov, V. V. (2014).
Applications of topology optimization in structural
engineering. In Civil Engineering for Sustainability and
Resilience International Conference (CESARE) (pp.24-27).
[8]. Krishnamoorthy, C. S. (1994). Finite Element Analysis:
Theory and Programming. Tata McGraw Hill Education.
[9]. Kütük, M. A., & Göv, İ. (2013). A finite element removal
method for 3D topology optimization. Advances in Mechanical Engineering, 5, 413-463. https://doi.org/10.
1155/2013/413463
[10]. Lee, E. (2012). Stress constraint based structural
topology Optimization with design dependent loads (Post
graduate Thesis). University of Toronto, Canada.
[11]. Lee, S. J., & Bae, J. E. (2010). Topology Optimization
of Plane Structures using Modal Strain Energy for
Fundamental Frequency Maximization. Architectural
Research, 12(1), 39-47.
[12]. Lewiński, T., Czarnecki, S., Dzierżanowski, G., &
Sokół, T. (2013). Topology optimization in structural
mechanics. Bulletin of the Polish Academy of Sciences,
Technical Sciences, 61(1), 23-37. https://doi.org/10.2478
/bpasts-2013-0002
[13]. Lin, C. Y., & Hsu, F. M. (2008). An adaptive volume
constraint algorithm for topology optimization with a
displacement limit. Advances in Engineering Software,
39(12), 973-994. https://doi/10.1016/j.advengsoft.2008.
01.008
[14]. Luh, G. C., Lin, C. Y., & Lin, Y. S. (2011). A binary
particle swarm optimization for continuum structural
topology optimization. Applied Soft Computing, 11(2),
2833-2844. https://doi.org/10.1016/j.asoc.2010.11.013.
[15]. Malekinejad, M., Rahgozar, R., Malekinejad, A., &
Rahgozar, P. (2016). A continuous discrete approach for
evaluation of natural frequencies and mode shapes of
high rise buildings. International Journal of Advanced
Structural Engineering, 8(3), 269-280. https://doi.org/10.
1007/s40091-016-0129-6
[16]. Paris, J., Navarrina, F., Colominas, I., & Casteleiro, M.
(2010). Stress constraints sensitivity analysis in structural
topology optimization. Computer Methods in Applied
Mechanics and Engineering, 199(33-36), 2110-2122.
[17]. Rozvany, G. I. (2009). A critical review of established
methods of structural topology optimization. Structural
and Multidisciplinary Optimization, 37(3), 217-237.
[18]. Sarkisian, M., Long, E., Doo, H. S., & Skidmore, D. S. (2009). Optimisation Tools for the Design of Structures. San
Francisco, California: Owings Merrill LLP.
[19]. Siu, Y. W., Lai, B. S. L., Wang, F. W., Zhou, Z. H., & Chan,
S. L. (2003). Optimisation of structures by the optimality
criteria method. HKIE Transactions, 10(3), 48-53.
[20]. Sundar, S., & Bhagavan, B. K. (2000). Generalized
eigenvalue problems: Lanczos algorithm with a recursive
partitioning method. Computers & Mathematics with
Applications, 39(7-8), 211-224.
[21]. Takezawa, A., & Kitamura, M. (2013). Sensitivity
analysis and optimization of vibration modes in
continuum systems. Journal of Sound and Vibration,
332(6), 1553-1566.
[22]. Tsai, T. D., & Cheng, C. C. (2013). Structural design for
desired eigen frequencies and mode shapes using
topology optimization. Structural and Multi disciplinary
Optimization, 47(5), 673-686. https://doi.org/10.1007/s00
158-012-0840-2
[23]. Van den Boom, S. J. (2014). Topology Optimisation
Including Buckling Analysis. (Post graduate Thesis). DELFT
University of Technology.
[24]. Yang, B., Zhang, Q., & Zhou, Z. (2015). Solving truss
topological optimization via Swarm Intelligence. KSCE
Journal of Civil Engineering, 19(7), 1962-1972. https://doi.
org/10.1007/s12205-015-0218-2
[25]. Yang, X. S. (2010). Engineering Optimization: An
Introduction with Metaheuristic Applications. New Jersey,
US: Wiley Publishing.
[26]. Yang, X. Y., Xie, Y. M., Steven, G. P., & Querin, O. M.
(1999). Topology optimization for frequencies using an
evolutionary method. Journal of Structural Engineering,
125(12), 1432-1438.
[27]. Zhang, Z., Chen, W., & Cheng, X. (2015). Sensitivity
analysis and optimization of eigen mode localization in
continuum systems. Structural and Multi disciplinary
Optimization, 52(2), 305-317. https://doi.org/10.1007/s00
158-015-1235-y
