Free vibration of cellular structures using continuum modes
Article
Banerjee Sourish and Bhaskar, Atul. 2005. "Free vibration of cellular structures using continuum modes." Journal of Sound and Vibration. 287 (1-2), pp. 77-100. https://doi.org/10.1016/j.jsv.2004.10.051
| Article Title | Free vibration of cellular structures using continuum modes |
|---|---|
| ERA Journal ID | 1295 |
| Article Category | Article |
| Authors | Banerjee Sourish and Bhaskar, Atul |
| Journal Title | Journal of Sound and Vibration |
| Journal Citation | 287 (1-2), pp. 77-100 |
| Number of Pages | 24 |
| Year | 2005 |
| Publisher | Elsevier |
| Place of Publication | United Kingdom |
| ISSN | 0022-460X |
| 1095-8568 | |
| Digital Object Identifier (DOI) | https://doi.org/10.1016/j.jsv.2004.10.051 |
| Web Address (URL) | https://www.sciencedirect.com/science/article/pii/S0022460X04009113 |
| Abstract | This paper is concerned with free vibration of elastic structures made up of cellular material. A network of cells in a plane is considered. Cell walls are modelled as beams. The problem of calculating the first few natural frequencies and the corresponding mode shapes is addressed. An approximate method based on the assumption that cellular solids behave as a continuum for low-frequency dynamics is presented. A direct application of the assumed modes method incorporating continuum modes as basis leads to difficulties. The source of this difficulty is identified. A method that uses inverse power iterations is proposed to pre-condition the assumed modes appropriately. The proposed method of using continuum modes as basis for model order reduction leads to substantial computational saving while maintaining good accuracy. Two examples are given to illustrate the proposed procedure of using the continuum modes in conjunction with pre-conditioning. © 2004 Elsevier Ltd. All rights reserved. |
| Contains Sensitive Content | Does not contain sensitive content |
| ANZSRC Field of Research 2020 | 401702. Dynamics, vibration and vibration control |
| Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
| Funder | Engineering and Physical Sciences Research Council |
| Byline Affiliations | University of Southampton, United Kingdom |
Permalink -
https://research.usq.edu.au/item/z0y7w/free-vibration-of-cellular-structures-using-continuum-modes
4
total views1
total downloads4
views this month1
downloads this month
Export as
Related outputs
On the vibrational behavior of the conventional and hetero-junction carbon nanotubes
Ghavamian, Ali, Banerjee, Sourish, Rahmandoust, Moones and Öchsner, Andreas. 2024. "On the vibrational behavior of the conventional and hetero-junction carbon nanotubes." Materials Today Communications. 39. https://doi.org/10.1016/j.mtcomm.2024.108656Bond behaviour of smooth surface GFRP pultruded profiles with cement grout
Abdullah Mamun, Ferdous, Wahid, Banerjee, Sourish and Manalo, Allan. 2024. "Bond behaviour of smooth surface GFRP pultruded profiles with cement grout." Case Studies in Construction Materials. 20. https://doi.org/10.1016/j.cscm.2024.e02891Impact of Spectral Shift Quality (SSQ) on Fibre Optic Sensor Readings in Reinforced Concrete Beams
Udagedara, U. M. N., Herath, H. M. C. M., Henarachchi, N. K., Sooriyaarachchi, H. P., Banerjee, S. and Epaarachchi, J. A.. 2023. "Impact of Spectral Shift Quality (SSQ) on Fibre Optic Sensor Readings in Reinforced Concrete Beams." 14th International Workshop on Structural Health Monitoring. Stanford University, Stanford, CA 12 - 14 Sep 2023 United States. DEStech Publications, Inc.An investigation of the use of embedded FBG sensors to measure temperature and strain inside a concrete beam during the curing period and strain measurements under operational loading
Fernando, C., Bernier, A., Banerjee, S., Kahandawa, G. and Eppaarchchi, J.. 2017. "An investigation of the use of embedded FBG sensors to measure temperature and strain inside a concrete beam during the curing period and strain measurements under operational loading." Chiu, Wing Kong, Galea, Steve, Mita, Akira and Takeda, Nobuo (ed.) 6th Asia Pacific Workshop on Structural Health Monitoring (APWSHM 2016). Hobart, Australia 07 - 09 Dec 2016 Netherlands. Elsevier. https://doi.org/10.1016/j.proeng.2017.04.500An Investigation into the Use of Ultrasonic Wave Transmission Techniques to Evaluate Air Voids in Asphalt
Zargar, Majid, Banerjee, Sourish, Bullen, Frank and Ayers, Ron. 2018. "An Investigation into the Use of Ultrasonic Wave Transmission Techniques to Evaluate Air Voids in Asphalt." Pradhan, Biswajeet (ed.) 1st Global Civil Engineering Conference (GCEC 2017). Kuala Lumpur, Malaysia 26 - 28 Jul 2017 Singapore. https://doi.org/10.1007/978-981-10-8016-6_103Fibre-reinforced polymer (FRP) repair systems for corroded steel pipelines
Sirimanna, C. S., Manalo, A. C., Karunasena, W., Banerjee, S. and McGarva, L.. 2015. "Fibre-reinforced polymer (FRP) repair systems for corroded steel pipelines." Karbhari, Vistasp M. (ed.) Rehabilitation of pipelines using fibre-reinforced polymer (FRP) composites. United Kingdom. Woodhead Publishing Limited. pp. 267-285Challenges of teaching engineering analysis software to distance education students
Banerjee, Sourish, Karunasena, Warna and Kist, Alexander A.. 2016. "Challenges of teaching engineering analysis software to distance education students." Smith, Scott, Lim, Yee Yan, Bahadori, Alireza, Lake, Neal, Padilla, Ricardo Vasquez, Rose, Andrew and Doust, Ken (ed.) 27th Annual Conference of the Australasian Association for Engineering Education (AAEE 2016). Coffs Harbour, Australia 04 - 07 Dec 2016 Lismore, Australia.Synthesis of graphene-based polymeric nanocomposites
Banerjee, S., Lee, J. H., Kuila, T. and Kim, N. H.. 2015. "Synthesis of graphene-based polymeric nanocomposites." Dong, Yu, Umer, Rehan and Lau, Alan Kin-Tak (ed.) Fillers and reinforcements for advancednanocomposites. United Kingdom. Woodhead Publishing Limited. pp. 133-155Analysis of retrofitted corroded steel pipes using internally bonded FRP composite repair systems
Sirimanna, C. S., Banerjee, S., Karunasena, W., Manalo, A. C. and McGarva, L.. 2015. "Analysis of retrofitted corroded steel pipes using internally bonded FRP composite repair systems." Australian Journal of Structural Engineering. 16 (3), pp. 187-198. https://doi.org/10.1080/13287982.2015.1092681On the mechanical properties of hierarchical lattices
Banerjee, Sourish. 2014. "On the mechanical properties of hierarchical lattices." Mechanics of Materials. 72, pp. 19-32. https://doi.org/10.1016/j.mechmat.2014.01.009Modeling of heat transfer in rotational molding
Banerjee, S., Yan, W. and Bhattacharyya, D.. 2008. "Modeling of heat transfer in rotational molding." Polymer Engineering and Science. 48 (11), pp. 2188-2197. https://doi.org/10.1002/pen.21164Analysis of internal bonded fibre reinforced composite repair systems for corroded steel pipelines
Sirimanna, C. S., Karunasena, W., Manalo, A. C., Banerjee, S. and McGarva, L.. 2013. "Analysis of internal bonded fibre reinforced composite repair systems for corroded steel pipelines." Al-Mahaidi, Riadh, Zhao, Xiao-Ling, Smith, Scott T. and Bai, Yu (ed.) 4th Asia-Pacific Conference on FRP in Structures (APFIS 2013): Towards Sustainable Infrastructure with FRP Composites. Melbourne, Australia 11 - 13 Dec 2013 Melbourne, Australia.Creep response of polymeric honeycombs
Banerjee, Sourish. 2011. "Creep response of polymeric honeycombs." Bhattacharyya, D., Lin, R. J. T. and Srivatsan, T. S. (ed.) 19th International Symposium on Processing and Fabrication of Advanced Materials (PFAM XIX). Auckland, New Zealand 14 - 17 Jan 2011 Auckland, New Zealand.Compressive behavior of fibre reinforced honeycomb cores
Rao, Sanjeev, Banerjee, Sourish, Jayaraman, Krishnan and Bhattacharyya, Debes. 2010. "Compressive behavior of fibre reinforced honeycomb cores." Dattaguru, B., Gopalakrishnan, S. and Aatre, K. (ed.) 2008 IUTAM Symposium on Multi-Functional Material Structures and Systems. Bangalore, India 10 - 12 Dec 2008 United States. https://doi.org/10.1007/978-90-481-3771-8_22Shear strength optimization of reinforced honeycomb core materials
Banerjee, S., Battley, M. and Bhattacharyya, D.. 2010. "Shear strength optimization of reinforced honeycomb core materials." Mechanics of Advanced Materials and Structures. 17 (7), pp. 542-552. https://doi.org/10.1080/15376490903398714Optimal design of sandwich panels made of wood veneer hollow cores
Banerjee, S. and Bhattacharyya, D.. 2011. "Optimal design of sandwich panels made of wood veneer hollow cores." Composites Science and Technology. 71 (4), pp. 425-432. https://doi.org/10.1016/j.compscitech.2010.12.011The applicability of the effective medium theory to the dynamics of cellular beams
Banerjee, Sourish and Bhaskar, Atul. 2009. "The applicability of the effective medium theory to the dynamics of cellular beams." International Journal of Mechanical Sciences. 51 (8), pp. 598-608. https://doi.org/10.1016/j.ijmecsci.2009.06.001On the degree of crystallinity from DSC in the case of multiple melting of synthetic polymers
Fakirov, S., Banerjee S. and Lin, R. J. T.. 2007. "On the degree of crystallinity from DSC in the case of multiple melting of synthetic polymers." Journal of Macromolecular Science Part B: Physics. 46 (2), pp. 317-320. https://doi.org/10.1080/00222340601067103The use and limitations of continuum modes for response calculations of cellular structures
Banerjee, Sourish and Bhaskar, Atul. 2007. "The use and limitations of continuum modes for response calculations of cellular structures." Journal of Sound and Vibration. 302 (3), pp. 457-470. https://doi.org/10.1016/j.jsv.2006.09.032Vibration of beams made up of cellular material
Banerjee, Sourish and Bhaskar, Atul. 2003. "Vibration of beams made up of cellular material." Cartmell, M. (ed.) 5th International Conference on Modern Practice in Stress and Vibration Analysis. Glasgow, Scotland 09 - 11 Sep 2003 Switzerland. Scientific.Net. https://doi.org/10.4028/www.scientific.net/msf.440-441.337This item comprises data from the following sources: Scopus