Finite Strip Method

Applied

Mathemati cs

(English

Editio n,

and

Vol.5 ,

A X A LY S I S'

Published

Mechanics No.6,

OF

Dec.

THIN

1984)

Wuhan,

PARALL ELOGRA M

P L A TE S '

SPLINE-FINITE-STRIP

M. (Associate

J.

Chen

P r o f e ss o r ,

Science,

Zhongshan

Visiting

senior

ment

of

Civil

Hong

Kong)

( L e c t u r er er ,

(Professor

of

Depart-

U n i v er e r s l C! C! ~

of

~

of

Civil

Engineering,

Kong

~{~{~ )

C heun~

l le l e ad ad , D e p a r t m e n t

Engineeri ng,

BENDING

Computer

Assistant,

m (

Hong

and

China

university,

.

Y.K.

Press

~

Engi neeri ng,

of

HUST

METHOD

Department

Depart ment

University

(

Research

.

by

u~ivers ity

(Rec eive d

of

Dec.

of

civi

. 5 on on g K o n g )

2 1, 1,

1983)

ABSTRACT

Spline

finite

solvi ng

right

In

paper,

t h is is

strip

p lates the

place.

banded

n ature

of

amount

of

more,

the

is

This

t he he

spline

comp uzing

successfully

by

Cheu ng

exten ded

extensio n finite

effort error

theoret icall~

strip

been

shells

discr etisa tion

estab lishe d finite

and

metho d

para llel ogra m

extra

has

as

to

al al

the

still

strip

is

of

a

et

applied

the

I "8 "8 2 .

analys~s

retains

and

only

required. above

general

in

in of

th e th smal

Furthermethod

is

ease

for

the

spline

mos t

~ , ow o w e rf rf u l

method.

Introduction The

fini te

analysis, and

however,

storage 's

tain

its

m eth od

re quirement. of

structure,

Cheun g

in

the

by

on

the

when

order

to

strip

was

riage

of of

element

dealing overco me devi sed spline

method.

docum ente d skewed

early

trans cande ntal

in

plate s

take

such

as

Exten sive paper,

et

and

This

mode s

al

unexplor ed.

for

f o r c e s, s,

]

local

the

the

is very

bridges,

much of

the

by

for

i ts

computing

regularit y strip

struct ural

, shape

method

]

which

approximation,

suffers

from

multi- span

skewed

finite

in

1982.

examp les

strip

This

on

applica bilit y t h e me me

and

method,

me tho d

is,

polyno mial right of of

plates

this th e th

in

of

method present

e tc tc .

spline the

standard shells

in

develop-

difficul-

f a c t, t,

and

cer-

is based

plate, the

cost

of

was

method,

the

main

the

tools

semi -analytic al

of

The

limited

finite

interpola ting

numeric al but

of

advant ages

seventies.

Cheu ng

remains

To

shor tcomi ngs

functions

one

value

concen trat ed

these

their

is

vi bration al

with

by

]

practic al

classe s

ed

ties

e lem ent

th e

paper

In

finite mar-

f i n it it e were

well-

analysis is

to

of

extend

1728 the

.J. technique

gene ral

to

case

easi ly

of

Chen,

for

full

det ail s

1i.

Statement

T ha m a n d Y . K .

p&ra].ielogram the

a doL ted

L.G.

wi ll

of

s p l iJ ~e the

be

plate,

finite

. ~ n a ly s i s

: ! i s c um s e d

and

strip

of in

it s

conv erge nce

method.

cur ved a

Cheung

In

F . ] a t es

We

r .('2,,

/

co ns ide r

: ! free- ed,ne s

in

t]:{,

be

and

its

b

the

tet,-~l

;

re

(@~)~ ,

clamped,

i :d ,t e s

(P i g . l )

, b>0,

/~=tgO

(8 .Q )~

an

si mpl y- sup por te

re sp ec ti ve ly ,

and

L} (as

realm

of

enerm\ -.

Kirc hhof f's

](W)=

Ox ]

plate



beBding,

( c)y~

a _ x~

; } d x d y - - I Iq w d x d y

la to

={(x, t~)lkU