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1993年 第14卷 第5期 刊出日期:1993-05-18
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论文
CHAOTIC BEHAVIOR OF A NONLINEAR OSCILLATOR
裴钦元;李骊
1993, 14(5): 395-405.
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(
469
)
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(439KB) (
499
)
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多维度评价
Behavior of bifurcation and chaos in a forced oscillator
x
1
+
δ
x
1
+ω
0
2
x
1
-
β
x
0
2
=ƒcosωτ containing a square nonlinear term is investigated by using Mel nikov method and digital computer simulations.
FUNDAMENTAL OF DYNAMICAL ANALYSIS OF THE BLAST-RESISTANT UNDERGROUND STRUCTURES
赵玉祥;宋熙太;钱尔旋
1993, 14(5): 407-415.
摘要
(
523
)
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(485KB) (
617
)
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多维度评价
In this paper, the generalized variational principle of dynamic analysis for the blast-resistant underground structures is established, and the corresponding generalized functional of elastoplastic analysis for underground structures is derived, and the generalized variational principle of nonconservative system is given, thus the fundamental of dynamical analysis for underground structures to resist blast is proposed. Finally, for the underground cylindrical structure to resist blast, dynamical calculations are made, and compared with the test results.
THE APPLICATIONS OF GENERALIZED VARIATIONAL PRINCIPLES IN NONLINEAR STRUCTURAL ANALYSIS
成祥生
1993, 14(5): 417-428.
摘要
(
542
)
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(688KB) (
527
)
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多维度评价
This paper discusses the generalized variational principles founded by the technique of Lagrangian multipliers in structural mechanics and analyzes the nonlinear statically indeterminate structures. It is assumed that the stress-strain relationship of the materials of structures has the form of σ=βε
1/m
or τ=Cγ
1/m
, namely, the physical equations of structures have the shape of exponential functions. Several examples are given to illustrate the statically indeterminate structures such as the trusses, beams, frames and torsional bars.
SUPPLEMENTARY STUDY ON ANISOTROPIC PLASTIC STRESS FIELDS AT A STATIONARY PLANE-STRESS CRACK-TIP
林拜松
1993, 14(5): 429-436.
摘要
(
560
)
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(392KB) (
540
)
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多维度评价
The results in Ref, [1] are not suitable for the cases of α≥2, For this reason, we use the method in Ref. [1] to derive the general expressions of the anisotropic plastic stress fields at a stationary plane-stress crack-tip for both of the cases of α=2 and α>2. As an example, we give the analytical expressions of the anisotropic plastic stress fields at the stationary tips of mode I and mode ff plane-stress cracks for the case of α=2.
AN APPROXIMATE ANALYTICAL SOLUTION OF THE CYLINDRICAL DETONATION WAVE GENERATED BY THE LINEAR EXPLOSION
袁镒吾
1993, 14(5): 437-441.
摘要
(
565
)
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(292KB) (
419
)
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多维度评价
The solution of the cylindrical detonation wave generated by the linear explosion was obtained by numerical method in ref. [1].In this paper, when the ratio of specific heat γ>>1 by using the enlargement coordinate method, the first-order analytical solutions are obtained. The perturbation parameter is ε=1/γ
2
. The correction of these solutions is checked at the end of this paper.
A SOLUTION OF COSINE PRESSURES ON A HOLLOW CYLINDER AND THE LIMIT WHEN k→0
刘助柏;齐作玉
1993, 14(5): 443-448.
摘要
(
538
)
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(322KB) (
351
)
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多维度评价
A new stress function is found in this paper and then the problems of cosine pressures on a hollow cylinder are solved with the new stress function, which provides the basis for the solution of the problems of space symmetrical deformation of a hollow cylinder. When the pressures do not vary in the axial direction, that is, when k→0 the lame formulae can be deduced.
THE STUDY OF SURFACE DUST CONCENTRATION OF SATELLITE IN FAIRING SEPARATION
黄振侃;王世洪;于立新;徐立大
1993, 14(5): 449-458.
摘要
(
484
)
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(579KB) (
441
)
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The explosion process is usually used for satellite releasing during fairing separation. Explosion products are not allowed to be leaked from the detonating tube connecting two parts of the fairing during the fairing separation process. This paper predicts the contamination of the explosion products falling on the satellite surface during fairing separation on the ground and in space in case of the computer simulation by using the theory of explosion gaseous dynamics and the basic theory of aerosol mechanics.
THE SINGULAR BEHAVIOUR IN THE VICINITY OF INTERSECTION BETWEEN THE BODY AND FREE SURFACE
朱林生;戴遗山
1993, 14(5): 459-468.
摘要
(
479
)
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(532KB) (
436
)
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The singular behaviour in [he vicinity of intersection between the body and free surface is presented. It is shown that in the linear regime the singularity of velocity potential for transient problem is in d
2
/nd. The singular behaviour for harmonic problem is the same as the result for the transient problem. In particular, the singularity for the harmonic problem with infinite frequency is in d
2
/nd for velocity potential (d is the distance between field point and intersection).
EXPLICIT CRITERIA OF ABSOLUTE STABILITY FOR THE REAL SECOND CANONICAL FORM OF CONTROL SYSTEM
高国成
1993, 14(5): 469-479.
摘要
(
510
)
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(502KB) (
462
)
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In this paper, some explicit criteria of absolute stability for the trivial solution of the real second canonical form of non-linear control system are given, which include and improve the criteria in paper [1]. By applying these criteria to the well-known equation of the longitudinal motion of aircraft, some results are obtained, which include and improve the corresponding results in papers [1, 2, 3, 4].
INSTABILITY OF SOLUTION FOR THE FOURTH ORDER LINEAR DIFFERENTIAL EQUATION WITH VARIED COEFFICIENT
卢德渊;廖宗璜
1993, 14(5): 481-497.
摘要
(
544
)
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(818KB) (
515
)
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多维度评价
In this paper, we give some sufficient conditions of the instability for the fourth order linear differential equation with varied coefficient, at least one of the characteristic roots of which has positive real part, by means of Liapunov’s second method.
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