4.3.1 evaluating the probability of failure and in-depth analysis
  4.3.2 solution 1: second-order approximation of d2
  4.3.3 solution 2: new variable e2 to replace d2
  4.3.4 solution 3: variable □ to replace e2
  4.4  solution 4: monte carlo simulation replacing form
  4.4.1 perturbation + monte carlo simulation on r2 and w□
  4.4.2 reliability analysis of the updated combined approach
  4.5  summary
5.application to a 3d helicopter model
  5.1  background of helicopter vibration'control
  5.2  a 3d helicopter ee model
  5.2.1 system details
  5.2.2 dynamic characteristics of the model
  5.3  response analysis
  5.4  reliability analysis of the combined approach
  5.4.1 probability vs. excitation frequencies
  5.4.2 probability vs. maximum displacement and variation coefficient
  5.5  efficiency analysis
  5.6  summary
6.complete combined approach
  6.1  response surface techniques in obtaining ck
  6.1.1 direct rs model fitting of the stiffness matrix k
  6.1.2 alternative fitting approach
  6.1.3 analytical approach to obtain the covariance matrix of k
  6.1.4 complete combined approach
  6.2  complete application to 2d frame model
  6.2.1 type i rs model fitting with koshal design
  6.2.2 complete combined approach
  6.3  complete application to 3d helicopter model
  6.4  summary
7.conclusions and future work
  7.1  achievements and conclusions
  7.2  future work
  7.2.1 application of an enhanced form method
  7.2.2 further simplification of perturbation/analytical algorithms
  7.2.3 development for non-probabilistic methods
appendix ⅰ:transforming random variables from correlated to uncorrelated
appendix ⅱ:analytical solution of hl safety index
appendix ⅲ:modal analysis of dynamic systems
appendix ⅳ:multiple force analysis
appendix ⅴ:summary of the defined parameters
appendix ⅵ:nodal coordinates of the helicopter model
appendix ⅶ:element connectivity and properties of the
helicopter model
references
index

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工业技术 航空、航天

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