The nonlinear parameters of the complicated dynamic soil - box foundation - frame structure interaction system are inversed according to this nonlinear calculating model and this inversion method 利用非線性計(jì)算模型和變量分離的非線性參數(shù)擬合法,實(shí)現(xiàn)了復(fù)雜的土-箱型基礎(chǔ)-框架結(jié)構(gòu)相互作用系統(tǒng)的非線性參數(shù)反演。
Last , the 2 - d lumped mass nonlinear model is established to simulate the dynamic soil - box foundation - frame structure interaction system , and the variables separated nonlinear parameters fitting method is proposed 最后,建立了土-箱型基礎(chǔ)-框架結(jié)構(gòu)相互作用系統(tǒng)的非線性計(jì)算模型,并提出了變量分離的非線性參數(shù)擬合法。
The different methods presented above , especially tsf method and separating - variable method , are simple , efficient , robust and with boldness and ingenuity of conception . they all break through some key problems and difficulties in reconstruction technology of hyper - surfaces 上述諸方法,尤其是二步法和變量分離法,簡(jiǎn)單高效,構(gòu)思新穎巧妙,突破了超曲面重構(gòu)的難點(diǎn)和關(guān)鍵技術(shù)。
Based upon practical engineering applications , the variant separating - variable algorithms of hyper - surface fitting for arbitrary multivariate scattered data are presented by separating positional variables in a spatial domain from certain physical variables such as time , mach number , angle of attack and so on , followed by their comparison . when compared with existing scatted data interpolation algorithms , the new ones are more effective . a sufficient condition to exchangeable order of separation is obtained and order of continuity on the hyper - surfaces above is discussed 三、以實(shí)際工程應(yīng)用為背景,將具有某種物理意義的量(如時(shí)間、 ma數(shù)、迎角等)與空間位置變量分開(kāi)處理,給出任意散亂數(shù)據(jù)超曲面擬合變量分離的各種算法,對(duì)它們進(jìn)行了算法的分析比較,獲得了分離次序可交換性的充分條件,給出了變量分離法構(gòu)造的超曲面的光滑階。
In this dissertation , with the aid of many types of constructive transformations and symbolic computation , some topics in nonlinear waves and integrable system are studied , including exact solutions , painleve integrability , backlund transformation , darboux transformation , symmetry ( similarity reduction ) , conditional symmetry , lax integrable hierarchy , liouville integrable n - hamilton structure , constraint flow , involutive system , lax representation , r - matrix , separation of variables and integrable couplings . chapter 2 and 3 are devoted to investigating exact solutions of nonlinear wave equations : firstly , the basic theories of c - d pair and c - d integrable system are presented 本文以構(gòu)造性的變換及符號(hào)計(jì)算為工具,來(lái)研究非線性波和可積系統(tǒng)中的一些問(wèn)題:精確解(如孤子解、周期解、有理解、 dromion解及compacton解等) 、 panileve可積性、 backlund變換、 darboux變換、對(duì)稱(chēng)(相似約化) 、條件對(duì)稱(chēng)、 lax可積族、 liouville可積的n - hamilton結(jié)構(gòu)、約束流、對(duì)合系統(tǒng)、 lax表示、 r -矩陣、變量分離及可積的耦合系統(tǒng)