English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Efficient structural reanalysis for high-rank modification plays an importantrole in engineering computations which require repeated evaluations ofstructural responses, such as structural optimization and probabilisticanalysis. To improve the efficiency of engineering computations, a novelapproximate static reanalysis method based on system reduction and iterativesolution is proposed for statically indeterminate structures with high-rankmodification. In this approach, a statically indeterminate structure is dividedinto the basis system and the additional components. Subsequently, thestructural equilibrium equations are rewritten as the equation system with thestiffness matrix of the basis system and the pseudo forces derived from theadditional elements. With the introduction of spectral decomposition, a reducedequation system with the element forces of the additional elements as theunknowns is established. Then, the approximate solutions of the modifiedstructure can be obtained by solving the reduced equation system through apre-conditioned iterative solution algorithm. The computational costs of theproposed method and the other two reanalysis methods are compared and numericalexamples including static reanalysis and static nonlinear analysis arepresented. The results demonstrate that the proposed method has excellentcomputational performance for both the structures with homogeneous material andstructures composed of functionally graded beams. Meanwhile, the superiority ofthe proposed method indicates that the combination of system reduction andpre-conditioned iterative solution technology is an effective way to develophigh-performance reanalysis methods.

System reduction-based approximate reanalysis method for statically indeterminate structures with high-rank modification