Total Potential Optimization Using Metaheuristics: Analysis of Cantilever Beam via Plane-Stress Members

2020 ◽  
pp. 127-138 ◽  
Author(s):  
Yusuf Cengiz Toklu ◽  
Gebrail Bekdaş ◽  
Aylin Ece Kayabekir ◽  
Sinan Melih Nigdeli ◽  
Melda Yücel
Keyword(s):  
Cantilever Beam ◽  
Plane Stress ◽  
Total Potential

Analysis of Plane-Stress Systems via Total Potential Optimization Method Considering Nonlinear Behavior

2020 ◽  
Vol 146 (11) ◽  
pp. 04020249 ◽  
Author(s):  
Yusuf Cengiz Toklu ◽  
Aylin Ece Kayabekir ◽  
Gebrail Bekdaş ◽  
Sinan Melih Nigdeli ◽  
Melda Yücel
Keyword(s):  
Plane Stress ◽  
Nonlinear Behavior ◽  
Optimization Method ◽  
Total Potential

scholarly journals A Novel Hybrid Harmony Search Approach for the Analysis of Plane Stress Systems via Total Potential Optimization

2020 ◽  
Vol 10 (7) ◽  
pp. 2301 ◽  
Author(s):  
Aylin Ece Kayabekir ◽  
Yusuf Cengiz Toklu ◽  
Gebrail Bekdaş ◽  
Sinan Melih Nigdeli ◽  
Melda Yücel ◽  
...  
Keyword(s):  
Potential Energy ◽  
Plane Stress ◽  
Harmony Search ◽  
Total Potential Energy ◽  
Metaheuristic Algorithms ◽  
Flower Pollination Algorithm ◽  
Complex Nature ◽  
Total Potential ◽  
Design Variables ◽  
Search Approach

By finding the minimum total potential energy of a structural system with a defined degree of freedoms assigned as design variables, it is possible to find the equilibrium condition of the deformed system. This method, called total potential optimization using metaheuristic algorithms (TPO/MA), has been verified on truss and truss-like structures, such as cable systems and tensegric structures. Harmony Search (HS) algorithm methods perfectly found the analysis results of the previous structure types. In this study, TPO/MA is presented for analysis of plates for plane stress members to solve general types of problems. Due to the complex nature of the system, a novel hybrid Harmony Search (HHS) approach was proposed. HHS is the hybridization of local search phases of HS and the global search phase of the Flower Pollination Algorithm (FPA). The results found via HHS were verified with the finite element method (FEM). When compared with classical HS, HHS provides smaller total potential energy values, and needs less iterations than other new generation metaheuristic algorithms.

Computing cell tractions from particle displacements on silicone rubber substrata

1994 ◽  
Vol 52 ◽  
pp. 162-163
Author(s):  
Tim Oliver ◽  
Akira Ishihara ◽  
Ken Jacobsen ◽  
Micah Dembo
Keyword(s):  
Plane Stress ◽  
Linear Elasticity ◽  
Silicone Rubber ◽  
Mathematical Analysis ◽  
Elastic Recovery ◽  
Video Images ◽  
Cell Traction Forces ◽  
Latex Beads ◽  
Cell Traction ◽  
Better Than

In order to better understand the distribution of cell traction forces generated by rapidly locomoting cells, we have applied a mathematical analysis to our modified silicone rubber traction assay, based on the plane stress Green’s function of linear elasticity. To achieve this, we made crosslinked silicone rubber films into which we incorporated many more latex beads than previously possible (Figs. 1 and 6), using a modified airbrush. These films could be deformed by fish keratocytes, were virtually drift-free, and showed better than a 90% elastic recovery to micromanipulation (data not shown). Video images of cells locomoting on these films were recorded. From a pair of images representing the undisturbed and stressed states of the film, we recorded the cell’s outline and the associated displacements of bead centroids using Image-1 (Fig. 1). Next, using our own software, a mesh of quadrilaterals was plotted (Fig. 2) to represent the cell outline and to superimpose on the outline a traction density distribution. The net displacement of each bead in the film was calculated from centroid data and displayed with the mesh outline (Fig. 3).

UNCERTAINTY QUANTIFICATION ON THE ADHESIVE LAYER FOR PASSIVE SHUNT CONTROL: CANTILEVER BEAM

2019 ◽  
Author(s):  
Luiz Felipe Ribas Motta ◽  
Guilherme Silva Prado ◽  
Venicio Silva Araujo ◽  
Heinsten Frederich Leal dos Santos
Keyword(s):  
Uncertainty Quantification ◽  
Cantilever Beam ◽  
Adhesive Layer ◽  
Shunt Control

Mathematical Modelling of a Cantilever Beam Driven by two Unbalanced Eletric Motors

2019 ◽  
Author(s):  
Arthur Mereles ◽  
Marcus Varanis ◽  
Anderson Langone Silva ◽  
José Manoel Balthazar ◽  
Eduardo Márcio de Oliveira Lopes ◽  
...  
Keyword(s):  
Mathematical Modelling ◽  
Cantilever Beam

Dynamic modeling of a galloping structure equipped with piezoelectric wafers and energy harvesting

2019 ◽  
Vol 67 (3) ◽  
pp. 142-154 ◽  
Author(s):  
M. Y. Abdollahzadeh Jamalabadi ◽  
Moon K. Kwak
Keyword(s):  
Energy Harvesting ◽  
Cantilever Beam ◽  
Vibrational Energy ◽  
Virtual Work ◽  
Power Level ◽  
Closed Form Solutions ◽  
Multi Scale ◽  
Rigid Mass ◽  
Piezoelectric Wafer ◽  
Piezoelectric Wafers

This study presents the analytical solution and experimental investigation of the galloping energy harvesting from oscillating elastic cantilever beam with a rigid mass. A piezoelectric wafer was attached to galloping cantilever beam to harvest vibrational energy in electric charge form. Based on Euler-Bernoulli beam assumption and piezoelectric constitutive equation, kinetic energy and potential energy of system were obtained for the proposed structure. Virtual work by generated charge and galloping force applied onto the rigid mass was obtained based on Kirchhoff's law and quasistatic assumption. Nonlinear governing electro-mechanical equations were then obtained using Hamilton's principle. As the system vibrates by self-exciting force, the fundamental mode is the only one excited by galloping. Hence, multi-degreeof-freedom equation of motion is simplified to one-degree-of-freedom model. In this study, closed-form solutions for electro-mechanical equations were obtained by using multi-scale method. Using these solutions, we can predict galloping amplitude, voltage amplitude and harvested power level. Numerical and experimental results are presented and discrepancies between experimental and numerical results are fully discussed.

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