Development of a novel meshless Local Kriging (LoKriging) method for structural dynamic analysis

Article


Li, Hua, Wang, Q. X. and Lam, K. Y.. 2004. "Development of a novel meshless Local Kriging (LoKriging) method for structural dynamic analysis." Computer Methods in Applied Mechanics and Engineering. 193 (23-26), pp. 2599-2619. https://doi.org/10.1016/j.cma.2004.01.010
Article Title

Development of a novel meshless Local Kriging (LoKriging) method for structural dynamic analysis

ERA Journal ID4173
Article CategoryArticle
AuthorsLi, Hua (Author), Wang, Q. X. (Author) and Lam, K. Y. (Author)
Journal TitleComputer Methods in Applied Mechanics and Engineering
Journal Citation193 (23-26), pp. 2599-2619
Number of Pages21
Year2004
Place of PublicationNetherlands
ISSN0045-7825
Digital Object Identifier (DOI)https://doi.org/10.1016/j.cma.2004.01.010
Web Address (URL)https://www.sciencedirect.com/science/article/pii/S0045782504001276
Abstract

This paper presents a novel meshless approach to study the dynamic responses of structures. It is called Local Kriging (LoKriging) method, where the Kriging interpolation is employed to construct the field approximation function and meshless shape functions, and the local weak form of partial differential governing equations is derived by the weighted residual technique. Since the shape functions constructed by this interpolation possess the delta function property even for a set of randomly distributed points, the essential boundary condition can be easily imposed. In implementation of local weak form, the spline function with high continuity is used as the weight function. No mesh is required either for integration of the local weak form, or for construction of the shape functions. Thus the present LoKriging method is a truly meshless method. Several numerical examinations for the free/forced vibrational analysis of structures and the dynamic performance of microelectromechanical systems (MEMS) device are carried out to demonstrate the accuracy and efficiency of the LoKriging method. The numerical results show that the presently developed method is quite easy to implement, very accurate and highly efficient for the problems considered.

KeywordsDynamic response; Free/forced vibration; Kriging interpolation; MEMS; Meshless method
ANZSRC Field of Research 2020490302. Numerical analysis
401706. Numerical modelling and mechanical characterisation
Public Notes

Files associated with this item cannot be displayed due to copyright restrictions.

Byline AffiliationsInstitute of High Performance Computing, Singapore
Institution of OriginUniversity of Southern Queensland
Permalink -

https://research.usq.edu.au/item/q7288/development-of-a-novel-meshless-local-kriging-lokriging-method-for-structural-dynamic-analysis

  • 47
    total views
  • 2
    total downloads
  • 0
    views this month
  • 0
    downloads this month

Export as

Related outputs

Are Vietnamese coffee farmers willing to pay for weather index insurance?
Lan, Le, Mushtaq, Shahbaz, Wang, Qingxia (Jenny), Barlis, Angelica, Deniau, Aline, Mittahalli Byrareddy, Vivekananda, Anh, Huynh Tan and Swaans, Kees. 2024. "Are Vietnamese coffee farmers willing to pay for weather index insurance?" International Journal of Disaster Risk Reduction. 100. https://doi.org/10.1016/j.ijdrr.2023.104185
An Introduction to Programming Physics-Informed Neural Network-Based Computational Solid Mechanics
Bai, Jinshuai, Jeong, Hyogu, Batuwatta-Gamage, C. P., Xiao, Shusheng, Wang, Qingxia, Rathnayaka, C.M., Alzubaidi, Laith, Liu, Gui-Rong and Gu, Yuantong. 2023. "An Introduction to Programming Physics-Informed Neural Network-Based Computational Solid Mechanics." International Journal of Computational Methods. 20 (10). https://doi.org/10.1142/S0219876223500135
Do Farmers Demand Innovative Financial Products? A Case Study in Cambodia
Wang, Qingxia, Soksophors, Yim, Phanna, Khieng, Barlis, Angelica, Mushtaq, Shahbaz, Rodulfo, Danny and Swaans, Kees. 2023. "Do Farmers Demand Innovative Financial Products? A Case Study in Cambodia." Journal of Risk and Financial Management. 16 (8). https://doi.org/10.3390/jrfm16080353
Large blockholders and stock price crash risk: An international study
Eugster, Nicolas and Wang, Qingxia (Jenny). 2023. "Large blockholders and stock price crash risk: An international study." Global Finance Journal. 55. https://doi.org/10.1016/j.gfj.2022.100799
Parameter estimation for time-fractional Black-Scholes equation with S &P 500 index option
An, Xingyu, Wang, Qingxia (Jenny), Liu, Fawang, Anh, Vo V. and Turner, Ian W.. 2023. "Parameter estimation for time-fractional Black-Scholes equation with S &P 500 index option." Numerical Algorithms. 95, pp. 1-30. https://doi.org/10.1007/s11075-023-01563-4
Financial effects of carbon risk and carbon disclosure: A review
Wang, Qingxia (Jenny). 2023. "Financial effects of carbon risk and carbon disclosure: A review." Accounting and Finance. 63, pp. 4175-4219. https://doi.org/10.1111/acfi.13090
Investors’ Greed and Fear: An Event Study of Analyst Recommendations
Wang, Qingxia (Jenny). 2022. "Investors’ Greed and Fear: An Event Study of Analyst Recommendations." Haron, Razali (ed.) Financial Crises - Challenges and Solutions. IntechOpen. pp. 1-17
Willingness to Pay for Weather-Indexed Insurance: Evidence from Cambodian Rice Farmers
Wang, Qingxia, Soksophors, Yim, Barlis, Angelica, Mushtaq, Shahbaz, Phanna, Khieng, Swaans, Cornelis and Rodulfo, Danny. 2022. "Willingness to Pay for Weather-Indexed Insurance: Evidence from Cambodian Rice Farmers." Sustainability. 14 (21), pp. 1-17. https://doi.org/10.3390/su142114558
Finite Element Modelling Epoxy/Clay Nanocomposites
Chia, Julian Y. H., Hbaieb, Kais and Wang, Q. X.. 2007. "Finite Element Modelling Epoxy/Clay Nanocomposites." Key Engineering Materials. 334-335, pp. 785-788. https://doi.org/10.4028/www.scientific.net/KEM.334-335.785
Techniques for Efficient Analytical and Simulation Methods in the Prototyping of MEMS Systems
Su, Y., Chong, C. S., Wang, Q. X. and Li, Hua. 2006. "Techniques for Efficient Analytical and Simulation Methods in the Prototyping of MEMS Systems." Leondes, Cornelius T. (ed.) MEMS/NEMS: Handbook Techniques and Applications. United States. Springer. pp. 293-334
Dynamic response of a laminated pipeline on the seabed subjected to underwater shock
Lam, K. Y., Zong, Z. and Wang, Q. X.. 2003. "Dynamic response of a laminated pipeline on the seabed subjected to underwater shock." Composites Part B: Engineering. 34 (1), pp. 59-66. https://doi.org/10.1016/S1359-8368(02)00072-0
Constitutive model development and micro-structural topology optimisation for Nafion hydrogel membranes with ionic clustering
Li, Hua, Yuan, Z., Ng, T. Y., Lee, H. P., Lam, K. Y., Wang, Q. X., Wu, Shunnian, Fu, Jie and Hanes, Justin. 2003. "Constitutive model development and micro-structural topology optimisation for Nafion hydrogel membranes with ionic clustering." Journal of Biomaterials Science: Polymer Edition. 14 (11), pp. 1181-1196. https://doi.org/10.1163/156856203322553428
A variation of local point interpolation method (vLPIM) for analysis of microelectromechanical systems (MEMS) device
Li, Hua, Wang, Q. X. and Lam, K. Y.. 2004. "A variation of local point interpolation method (vLPIM) for analysis of microelectromechanical systems (MEMS) device." Engineering Analysis with Boundary Elements. 28 (10), pp. 1261-1270. https://doi.org/10.1016/j.enganabound.2003.08.008
A novel meshless approach – Local Kriging (LoKriging) method with two-dimensional structural analysis
Lam, K. Y., Wang, Q. X. and Li, Hua. 2003. "A novel meshless approach – Local Kriging (LoKriging) method with two-dimensional structural analysis." Computational Mechanics. 33 (3), pp. 235-244. https://doi.org/10.1007/s00466-003-0524-2
Development of a new meshless — point weighted least-squares (PWLS) method for computational mechanics
Wang, Q. X., Li, Hua and Lam, K. Y.. 2004. "Development of a new meshless — point weighted least-squares (PWLS) method for computational mechanics." Computational Mechanics. 35 (3), pp. 170-181. https://doi.org/10.1007/s00466-004-0611-z
A pseudo-elastic local meshless method for analysis of material nonlinear problems in solids
Gu, Y. T., Wang, Q. X., Lam, K. Y. and Dai, K. Y.. 2007. "A pseudo-elastic local meshless method for analysis of material nonlinear problems in solids." Engineering Analysis with Boundary Elements. 31 (9), pp. 771-782. https://doi.org/10.1016/j.enganabound.2006.12.008
A meshless local Kriging method for large deformation analyses
Gu, Y. T., Wang, Q. X. and Lam, K. Y.. 2007. "A meshless local Kriging method for large deformation analyses." Computer Methods in Applied Mechanics and Engineering. 196 (9-12), pp. 1673-1684. https://doi.org/10.1016/j.cma.2006.09.017
Meshless Simulation of Equilibrium Swelling/Deswelling of PH-Sensitive Hydrogels
Wang, Q. X., Li, H. and Lam, K. Y.. 2005. "Meshless Simulation of Equilibrium Swelling/Deswelling of PH-Sensitive Hydrogels." Journal of Polymer Science Part B: Polymer Physics. 44 (2), pp. 326-337. https://doi.org/10.1002/polb.20698
A nonlinear fluid-structure interaction analysis of a near-bed submarine pipeline in a current
Lam, K. Y., Wang, Q. X. and Zong, Z.. 2002. "A nonlinear fluid-structure interaction analysis of a near-bed submarine pipeline in a current." Journal of Fluids and Structures. 16 (8), pp. 1177-1191. https://doi.org/10.1006/jfls.2002.0463
Probabilistic failure of a cracked submarine pipeline and subjected to the underwater shock
Lam, K. Y., Zong, Z. and Wang, Q. X.. 2001. "Probabilistic failure of a cracked submarine pipeline and subjected to the underwater shock." Journal of Offshore Mechanics and Arctic Engineering. 123 (3), pp. 134-140. https://doi.org/10.1115/1.1376715
Analysis of microelectromechanical systems (mems) by meshless local kriging (lokriging) method
Wang, Qing Xia, Li, Hua, Lam, Khin Yong and Gu, Yuan Tong. 2004. "Analysis of microelectromechanical systems (mems) by meshless local kriging (lokriging) method." Journal of the Chinese Institute of Engineers. 27 (4), pp. 573-583. https://doi.org/10.1080/02533839.2004.9670905
Modelling stiffness of polymer/clay nanocomposites
Hbaieb, K., Wang, Q. X., Chia, Y. H. J. and Cotterell, B.. 2007. "Modelling stiffness of polymer/clay nanocomposites." Polymer. 48 (3), pp. 901-909. https://doi.org/10.1016/j.polymer.2006.11.062
Analysis of microelectromechanical systems (MEMS) devices by the meshless point weighted least-squares method
Wang, Q. X., Li, Hua and Lam, K. Y.. 2007. "Analysis of microelectromechanical systems (MEMS) devices by the meshless point weighted least-squares method." Computational Mechanics. 40, pp. 1-11. https://doi.org/10.1007/s00466-006-0077-2
Multiscale simulation of coupled length-scales via meshless method and molecular dynamics
Wang, Q. X., Ng, T. Y., Li, Hua and Lam, K. Y.. 2009. "Multiscale simulation of coupled length-scales via meshless method and molecular dynamics." Mechanics of Advanced Materials and Structures. 16 (1), pp. 1-11. https://doi.org/10.1080/15376490802540242
Realized moments and the cross-sectional stock returns around earnings announcements
Wang, Qingxia, Faff, Robert and Zhu, Min. 2022. "Realized moments and the cross-sectional stock returns around earnings announcements." International Review of Economics and Finance. 79, pp. 408-427. https://doi.org/10.1016/j.iref.2022.02.036
Informational content of options around analyst recommendations
Wang, Qingxia, Faff, Robert and Zhu, Min. 2021. "Informational content of options around analyst recommendations." International Journal of Managerial Finance. https://doi.org/10.1108/IJMF-04-2021-0168
A reverse engineered pitch on Cremers et al. (2015), 'Aggregate jump and volatility risk in the cross-section of stock returns'
Wang, Qingxia (Jenny). 2018. "A reverse engineered pitch on Cremers et al. (2015), 'Aggregate jump and volatility risk in the cross-section of stock returns'." Journal of Accounting and Management Information Systems. 17 (1), pp. 178-185. https://doi.org/10.24818/jamis.2018.01010
A new data-driven topology optimization framework for structural optimization
Zhou, Ying, Zhan, Haifei, Zhang, Weihong, Zhu, Jihong, Bai, Jinshuai, Wang, Qingxia and Gu, Yuantong. 2020. "A new data-driven topology optimization framework for structural optimization." Computers and Structures. 239, pp. 1-16. https://doi.org/10.1016/j.compstruc.2020.106310
A coupled numerical approach for nonlinear dynamic fluid‐structure interaction analysis of a near‐bed submarine pipeline
Gu, Y.T. and Wang, Q.. 2008. "A coupled numerical approach for nonlinear dynamic fluid‐structure interaction analysis of a near‐bed submarine pipeline." Engineering Computations: international journal for computer-aided engineering and software. 25 (6), pp. 569-588. https://doi.org/10.1108/02644400810891553
A combined meshfree method and molecular dynamics in the multiscale length simulation
Wang, Q.X., Ng, T.Y., Kam, K.Y., Li, Hua and Fan, X.J.. 2002. "A combined meshfree method and molecular dynamics in the multiscale length simulation." Recent Advances In Computational Science And Engineering. Singapore. World Scientific Publishing. pp. 663–666