In recent years, wave energy harvesting systems have received considerable attention as an alternative energy source. Within this class of systems, single-point harvesters are popular at least for preliminary studies and proof-of-concept analyses in particular locations. Unfortunately, the large displacements of a single-point wave energy harvester are described by a set of nonlinear equations. Further, the excitation is often characterized statistically and in terms of a relevant power spectral density (PSD) function. In the context of this complex problem, the development of efficient techniques for the calculation of reliable harvester response statistics is quite desirable, since traditional Monte Carlo techniques involve nontrivial computational cost. The paper proposes a statistical linearization technique for conducting expeditiously random vibration analyses of single-point harvesters. The technique is developed by relying on the determination of a surrogate linear system identified by minimizing the mean square error between the linear system and the nonlinear one. It is shown that the technique can be implemented via an iterative procedure, which allows calculating statistics, PSDs, and probability density functions (PDFs) of the response components. The reliability of the statistical linearization solution is assessed vis-à-vis data from relevant Monte Carlo simulations. This novel approach can be a basis for constructing computationally expeditious assessments of various design alternatives.
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August 2016
Research-Article
Efficient Dynamic Analysis of a Nonlinear Wave Energy Harvester Model
Pol D. Spanos,
Pol D. Spanos
Honorary Mem. ASME
G. R. Brown School of Engineering,
Rice University,
Houston, TX 77005;
G. R. Brown School of Engineering,
Rice University,
Houston, TX 77005;
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Felice Arena,
Felice Arena
DICEAM Department,
“Mediterranea” University of Reggio Calabria,
Loc. Feo di Vito,
Reggio Calabria 89122, Italy
e-mail: arena@unirc.it
“Mediterranea” University of Reggio Calabria,
Loc. Feo di Vito,
Reggio Calabria 89122, Italy
e-mail: arena@unirc.it
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Alessandro Richichi,
Alessandro Richichi
DICEAM Department,
“Mediterranea” University of Reggio Calabria,
Loc. Feo di Vito,
Reggio Calabria 89122, Italy
e-mail: alessandro.richichi@unirc.it
“Mediterranea” University of Reggio Calabria,
Loc. Feo di Vito,
Reggio Calabria 89122, Italy
e-mail: alessandro.richichi@unirc.it
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Giovanni Malara
Giovanni Malara
DICEAM Department,
“Mediterranea” University of Reggio Calabria,
Loc. Feo di Vito,
Reggio Calabria 89122, Italy
e-mail: giovanni.malara@unirc.it
“Mediterranea” University of Reggio Calabria,
Loc. Feo di Vito,
Reggio Calabria 89122, Italy
e-mail: giovanni.malara@unirc.it
Search for other works by this author on:
Pol D. Spanos
Honorary Mem. ASME
G. R. Brown School of Engineering,
Rice University,
Houston, TX 77005;
G. R. Brown School of Engineering,
Rice University,
Houston, TX 77005;
Felice Arena
DICEAM Department,
“Mediterranea” University of Reggio Calabria,
Loc. Feo di Vito,
Reggio Calabria 89122, Italy
e-mail: arena@unirc.it
“Mediterranea” University of Reggio Calabria,
Loc. Feo di Vito,
Reggio Calabria 89122, Italy
e-mail: arena@unirc.it
Alessandro Richichi
DICEAM Department,
“Mediterranea” University of Reggio Calabria,
Loc. Feo di Vito,
Reggio Calabria 89122, Italy
e-mail: alessandro.richichi@unirc.it
“Mediterranea” University of Reggio Calabria,
Loc. Feo di Vito,
Reggio Calabria 89122, Italy
e-mail: alessandro.richichi@unirc.it
Giovanni Malara
DICEAM Department,
“Mediterranea” University of Reggio Calabria,
Loc. Feo di Vito,
Reggio Calabria 89122, Italy
e-mail: giovanni.malara@unirc.it
“Mediterranea” University of Reggio Calabria,
Loc. Feo di Vito,
Reggio Calabria 89122, Italy
e-mail: giovanni.malara@unirc.it
1Corresponding author.
Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received October 9, 2015; final manuscript received February 10, 2016; published online April 7, 2016. Assoc. Editor: António Falcão.
J. Offshore Mech. Arct. Eng. Aug 2016, 138(4): 041901 (8 pages)
Published Online: April 7, 2016
Article history
Received:
October 9, 2015
Revised:
February 10, 2016
Citation
Spanos, P. D., Arena, F., Richichi, A., and Malara, G. (April 7, 2016). "Efficient Dynamic Analysis of a Nonlinear Wave Energy Harvester Model." ASME. J. Offshore Mech. Arct. Eng. August 2016; 138(4): 041901. https://doi.org/10.1115/1.4032898
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