tailieunhanh - Engineering Analysis with Ansys Software Episode 1 Part 3

Tham khảo tài liệu 'engineering analysis with ansys software episode 1 part 3', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 24 Chapter 1 Basics of finite-element method where bleX cuy a2e b2ex c2ey h a3s b X sy and the superscript of e indicates that 8 i is the displacement vector deter- mined by the three displacement vectors at the three nodal points of the eth triangular element. Equation formulates the definin one of the interjeolation functions or shape functionsNSU l 2 3 for the triangụlarconstant- ainelement. Now mt ueconsSe ri ah ici derived from 3hc iibc Eqnetion . Substitution of Eq3ition into oiven ey Yxy de uoc dv dy dv du dx dy el csil dx 0 dNle ic e dNU dy o - I deoi o oeo r3v sne du dh 0 rL _ dy s El dx dy vucSc. dNl 0 h 0 s u Vie he v2e u3e ls b0e Ũ b2e 0 b3e 0 0 c- e 0 c2e 0 c3e he ble 1e 2e v3e 3e ea Vie u2e v2e u3e ne B 8 W where B establishes the relationship between the nodal displacemest unecSor and the element strain vector and is called the strain-displacement matrix or B matrix. All the components of the B matrix are expressed onlyby the coordinate values of ths e imdsl1 ilcmc ssdsittin3uCshe oìs ìuì. From the aOsvediscunsion ii conOocf ncluUed thac steams are constane chevuiUi-out a thre7-nvdo iriangiSf dimonf CÍ37S e. intsrpolation frmctiono ane nsisea functions oCthe a c r toslevu 3ebh 2 3ri et a triangular element with thoss nodal ịO misismllcd a Uomlonl-Ueem s le ciU cie-ao-node triangular eComenSi eaunot saic-eytCi eompetibitiiy condiUon inthostriei senee since straifceas diecofSmuous emcng eCamonts. It sUemonttrated howsvca thot the results obtainsdUy hiomonldoedeict 2 eeonveacs to exaa3eoSatiotls cvehe site efthe elements bK s eycs n ahm. It is kncean Shcielsmenta msvrt filCfilSVleyo ldmngthreo 0 Vso tic- ehe fillile element sa o onolsewiovon e totìio e7ac colutiode oe De rn 1acivi oui ĩnto ecm smaller elem tesc ottamvtcd. Nsmily the elements must 1 represent rigid bod. disphcemerns 2 represCiet meant Srams. onv 3 ensure the continuity of displacements among elements. FEM in .