THE DETERMINATION OF SOAP FILM BY TANGENT STIFFNESS METHOD

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Publication year 1994
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Title THE DETERMINATION OF SOAP FILM BY TANGENT STIFFNESS METHOD
Author Ru Rei
Summary The form-finding is analyzed by the tangent stiffness method. Two expressions of geometrical stiffness of a soap film element are applied for the form-finding. One tangent geometrical stiffness of the triangle element is derived by the condition of constant element forces in side directions. The other is derived by the condition of a constant tensile density in the element. in both methodĀEĆa node can be treated as having only one degree of freedom in normal direction on the formĀEĆbecause the form does not have any stiffness against nodal displacement on the soap film surface theoretically. Comparing the two methods with some computationsĀEĆin either caseĀEĆwe can get rational solutions with satisfactory convergence.