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The flexibility method is also known as the force or compatibility method.
For this statically indeterminate problem, the reactions of the structure can be solved using the flexibility method.
By using the derived influence coefficients, the unknown forces at the junctures of the ring elements are found by the standard flexibility method of indeterminate structural analysis.
The improved approach is then developed by combining the modified strain energy based damage indices with the modal flexibility method which was modified to suit three dimensional structures to form a new damage indicator.
In the flexibility method the force fields are described by the relation {mathbf{D}}left( x right) = {mathbf{b}}left( x right){mathbf{Q}} (8)Where b(x) contains the force interpolation functions, which relate the generalized nodal forces Q to the internal forces D x).
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This approach takes advantage of the object oriented programming capabilities of Python for providing full flexibility: methods can be customized with no limitations, while untouched methods keep providing the full features of the parent model class and a seamless integration in the predictive environment.
The flexibility difference method is also successful in locating multiple damage locations in the beam.
A flexibility difference method for locating damage in structures is presented.
Using only the lowest three modes, the flexibility difference method is successful in locating a 13 mm long saw cut in a 102 mm wide flange.
Because of its simplicity and flexibility, the method is likely to be applicable in a wide range of biological studies, in diverse experimental models and organisms.
Questionnaires have been found to have better correlation with other measures than interviews [ 10] but some patients may require assistance, so flexibility in method of administration is important.
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