Differential-algebraic equations in multibody system modeling

被引：35

作者：

Pogorelov, D ^{[1
]}

机构：

[1] Bryansk State Tech Univ, Dept Appl Mech, Bryansk 241035, Russia

来源：

NUMERICAL ALGORITHMS | 1998年 / 19卷 / 1-4期

关键词：

DAE; multibody systems; linear multi-step methods;

D O I：

10.1023/A:1019131212618

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

Numerical methods for the efficient integration of both stiff and nonstiff equations of motion of multibody systems having the form of differential-algebraic equations (DAE) of index 3 are discussed. Linear multi-step ABM and BDF methods are considered for the non-iterational integration of nonstiff DAE. The Park method is proposed for integration of stiff equations.

引用

页码：183 / 194

页数：12

共 14 条

[1]

Andrzejewski T., 1993, Advanced multibody system dynamics: simulation and software tools, P127

[2]

[Anonymous], NUMERIK GEWOHNLICHER

[3]

EFIMOV GB, 1993, SOME ALGORITHMS COMP

[4]

NUMERICAL-SOLUTION OF DIFFERENTIAL-ALGEBRAIC EQUATIONS FOR CONSTRAINED MECHANICAL MOTION [J].

FUHRER, C ;

LEIMKUHLER, BJ .

NUMERISCHE MATHEMATIK, 1991, 59 (01) :55-69

[5]

SIMULTANEOUS NUMERICAL SOLUTION OF DIFFERENTIAL-ALGEBRAIC EQUATIONS [J].

GEAR, CW .

IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (01) :89-&

[6]

AUTOMATIC INTEGRATION OF EULER-LAGRANGE EQUATIONS WITH CONSTRAINTS [J].

GEAR, CW ;

LEIMKUHLER, B ;

GUPTA, GK .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1985, 12-3 (MAY) :77-90

[7]

NUMERICAL-SOLUTION OF NONLINEAR DIFFERENTIAL-EQUATIONS WITH ALGEBRAIC CONSTRAINTS .1. CONVERGENCE RESULTS FOR BACKWARD DIFFERENTIATION FORMULAS [J].

LOTSTEDT, P ;

PETZOLD, L .

MATHEMATICS OF COMPUTATION, 1986, 46 (174) :491-516

[8]

IMPROVED STIFFLY STABLE METHOD FOR DIRECT INTEGRATION OF NONLINEAR STRUCTURAL DYNAMIC EQUATIONS [J].

PARK, KC .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1975, 42 (02) :464-470

[9]

POGORELOV DY, 1995, COMP MATH MATH PHYS+, V35, P501

[10]

SCHIEHLEN W, 1990, MULTIBODY SYSTEMS HD

← 1 2 →