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Image Search Results
Journal: Scientific Reports
Article Title: Prey localization in spider orb webs using modal vibration analysis
doi: 10.1038/s41598-022-22898-3
Figure Lengend Snippet: (Color online) Design of the orb web. Light blue lines are the spiral threads \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$r_t$$\end{document} r t . The light brown line is the radial thread \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$s_t$$\end{document} s t . ( a ) Initial, unstressed geometry. ( b ) Radial force distribution in the web. The equilibrium point should satisfy \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Sigma _i {\mathbf {F}}_i = {\mathbf {0}}$$\end{document} Σ i F i = 0 , with i =1..8. ( c ) Final equilibrium configuration considering geometrical nonlinearity and stress values in color scale. Pictures and maps are made with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {COMSOL}^{{\mathrm{TM}}}$$\end{document} COMSOL TM 6.0 and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {MATLAB}^{{\mathrm{TM}}}$$\end{document} MATLAB TM R2022b softwares https://www.comsol.com/livelink-for-matlab .
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Journal: Scientific Reports
Article Title: Prey localization in spider orb webs using modal vibration analysis
doi: 10.1038/s41598-022-22898-3
Figure Lengend Snippet: Input mechanical parameters for the orb web simulations in its initial state. Two types of threads (Radial/Surrounding and Spiral) are mechanically modeled with different parameters.
Article Snippet: Pictures and maps are made with
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Journal: Scientific Reports
Article Title: Prey localization in spider orb webs using modal vibration analysis
doi: 10.1038/s41598-022-22898-3
Figure Lengend Snippet: (Color online) Vibration eigenmodes of the spider web, modeled by pre-stressed trusses with geometrical nonlinearity. Pictures and maps are made with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {COMSOL}^{{\mathrm{TM}}}$$\end{document} COMSOL TM 6.0 and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {MATLAB}^{{\mathrm{TM}}}$$\end{document} MATLAB TM R2022b softwares. https://www.comsol.com/livelink-for-matlab .
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Journal: Scientific Reports
Article Title: Prey localization in spider orb webs using modal vibration analysis
doi: 10.1038/s41598-022-22898-3
Figure Lengend Snippet: (Color online) Effect of the position of the spider on its detection capacity. Case 1, panel ( 1-a ) the spider is in the center and the source (black dot) is correctly detected. The color code and the web deformation quantify the normalized displacement field, induced by the source, as reinterpreted by the spider. The absolute value of the visibility matrix \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\vert B_{nn'} \vert$$\end{document} | B n n ′ | in panel ( 1-b ) shows small out-of-diagonal values. In Case 2, panel ( 2-a ) the spider is off-center and the source is not correctly imaged. The visibility matrix (in absolute value) in panel ( 2-b ) shows larger out-of-diagonal values, indicating cross-talk between modes. Pictures and maps are made with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {COMSOL}^{{\mathrm{TM}}}$$\end{document} COMSOL TM 6.0 and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {MATLAB}^{{\mathrm{TM}}}$$\end{document} MATLAB TM R2022b softwares. https://www.comsol.com/livelink-for-matlab .
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