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Determining Ice Pressure Distribution on a Stiffened Panel Using Orthotropic Plate Inverse Theory
Inverse algorithms are presented for calculating the variable pressure acting on a stiffened steel plate. The analytical models are formulated to calculate the quasi-static pressure caused by contact of lake ice driven primarily by thermal expansion and winds. Loading pressures are calculated using strain measurements from a stiffened plate installed on a Keweenaw Peninsula lighthouse in Lake Superior. The ice sheet was essentially stationary through the winter months. The linear relationships between pressure and strain values are obtained by both strip beam theory and orthotropic plate theory. Because the inverse solutions are not necessarily unique, multiple approaches are developed and compared. Fourier pressure terms are calculated from the strain measurements using the inverse orthotropic plate theory algorithms. Two of the approaches are applied using orthotropic plate theory to reflect the variability of the ice: the first submodel presumes the pressure acts over the entire plate; the second submodel presumes the pressure acts only within the depth of the measured ice thickness. Favorable comparisons are made of results determined from orthotropic plate theory to results from finite-element (FE) analyses. A truncated singular value expansion (TSVE) method is applied to retain the robustness of the inverse process for the second submodel. Both inverse approaches show results with satisfying accuracy and efficiency compared to the FE analysis. In addition, laboratory calibration and an examination using the recorded data from field measurements exhibit the effectiveness of the presented approach. Inverse strip beam theory and the inverse orthotropic methods are applied for the evaluations. Through the recorded winter season 2013–2014, the peak ice pressures calculated by the inverse orthotropic plate theories are in the range of 3.5 MPa for the local contact ice pressures and a maximum of 3.0 MPa for the average ice pressures over the entire plate.
Determining Ice Pressure Distribution on a Stiffened Panel Using Orthotropic Plate Inverse Theory
Inverse algorithms are presented for calculating the variable pressure acting on a stiffened steel plate. The analytical models are formulated to calculate the quasi-static pressure caused by contact of lake ice driven primarily by thermal expansion and winds. Loading pressures are calculated using strain measurements from a stiffened plate installed on a Keweenaw Peninsula lighthouse in Lake Superior. The ice sheet was essentially stationary through the winter months. The linear relationships between pressure and strain values are obtained by both strip beam theory and orthotropic plate theory. Because the inverse solutions are not necessarily unique, multiple approaches are developed and compared. Fourier pressure terms are calculated from the strain measurements using the inverse orthotropic plate theory algorithms. Two of the approaches are applied using orthotropic plate theory to reflect the variability of the ice: the first submodel presumes the pressure acts over the entire plate; the second submodel presumes the pressure acts only within the depth of the measured ice thickness. Favorable comparisons are made of results determined from orthotropic plate theory to results from finite-element (FE) analyses. A truncated singular value expansion (TSVE) method is applied to retain the robustness of the inverse process for the second submodel. Both inverse approaches show results with satisfying accuracy and efficiency compared to the FE analysis. In addition, laboratory calibration and an examination using the recorded data from field measurements exhibit the effectiveness of the presented approach. Inverse strip beam theory and the inverse orthotropic methods are applied for the evaluations. Through the recorded winter season 2013–2014, the peak ice pressures calculated by the inverse orthotropic plate theories are in the range of 3.5 MPa for the local contact ice pressures and a maximum of 3.0 MPa for the average ice pressures over the entire plate.
Determining Ice Pressure Distribution on a Stiffened Panel Using Orthotropic Plate Inverse Theory
Zhang, Yuxi (author) / Karr, Dale G. (author)
2017-01-23
Article (Journal)
Electronic Resource
Unknown
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