A nariational principle for minimizing experimental measurement errors and its application to a hybrid experimental-numerical method

摘要

In general, experimentally measured fields such as moire-interfereometry fringes contain various errors associated with the measurement and subsequent data analysis. Moreover, the measured displacement field does not necessarily satisfy the equilibrium equation in solid mechanics, especially when the measurement errors are involved. First, a variational principle minimizing the ex- perimental measurement errors is derived to overcome such difficulties. Next, on the basis of this variational principle, a new hybrid moire-interfacementry and fintite- element method is developed.