SAINT-VENANT PRINCIPLE FOR A HELICAL SPRING

被引：17

作者：

BATRA, RC

机构：

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1978年 / 45卷 / 02期

关键词：

D O I：

10.1115/1.3424291

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The author considers a linear elastic helical spring of arbitrary length and of uniform cross section loaded by a self-equilibrated force system at one end only. And shows that the elastic energy, stored in the portion of the spring beyond a certain distance from the loaded end, decreases exponentially with the distance. An analog of Toupin's version of the Saint-Venant principle for a helical spring is established.

引用

页码：297 / 301

页数：5

共 10 条

[1]

BERGLUND K, 1977, ARCH RATION MECH AN, V64, P317, DOI 10.1007/BF00282343

[2] UNIFORMITY IN SHELLS [J].

ERICKSEN, JL .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1970, 37 (02) :73-&

[3]

GURTIN ME, 1972, HDB PHYSIK, V6

[4]

KNOWLES JK, 1966, ARCH RATION MECH AN, V21, P1

[5]

Love AEH., 1927, MATH THEORY ELASTICI

[6] HADAMARD STABILITY OF UNIFORM HELICAL STRUCTURES [J].

SHAHINPOOR, M .

JOURNAL OF STRUCTURAL MECHANICS, 1977, 5 (01) :33-43

[7] ON SAINT-VENANTS PRINCIPLE [J].

STERNBERG, E .

QUARTERLY OF APPLIED MATHEMATICS, 1954, 11 (04) :393-402

[8]

Toupin R.A., 1965, ARCH RATION MECH AN, V18, P83, DOI [10.1007/BF00282253, DOI 10.1007/BF00282253]

[9]

[No title captured]

[10]

[No title captured]

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