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  • Gaussian excitation  (2)
  • resonance  (2)
  • Diterpene esters  (1)
  • 1
    Digitale Medien
    Digitale Medien
    Springer
    Archive of applied mechanics 66 (1996), S. 343-356 
    ISSN: 1432-0681
    Schlagwort(e): Key words multifrequency excitations ; strong damping ; off-resonance vibration ; resonance ; Duffing equations
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau
    Notizen: Summary  In this paper, a new asymptotic calculation method is presented for a class of nonlinear nonautonomous vibration systems with multiple external periodic interferences. Simple calculation formulae of an asymptotic solution for resonance and off-resonance vibration are derived. The paper is concerned with a vibration system representing a class of nonlinear oscillators. Consequently, the calculation of a class of nonlinear oscillators is routinized. Two different Duffing equations are verified which shows that the results are completely in accordance with the solutions of references [3, 4, 6]. The derivation of solutions of Duffing equations becomes easier and simpler. In addition, some errors in reference [6] are pointed out.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 2
    Digitale Medien
    Digitale Medien
    Springer
    Archive of applied mechanics 65 (1995), S. 457-464 
    ISSN: 1432-0681
    Schlagwort(e): Key words nonlinear structure ; Gaussian excitation ; polynomial approximation ; stationary probability
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau
    Notizen: Summary  A new technique is proposed to obtain an approximate probability density for the response of a general nonlinear system under Gaussian white noise excitations. In this new technique, the original nonlinear system is replaced by another equivalent nonlinear system, structured by the polynomial formula, for which the exact solution of stationary probability density function is obtainable. Since the equivalent nonlinear system structured in this paper originates directly from certain classes of real nonlinear mechanical systems, the technique is applied to some very challenging nonlinear systems in order to show its power and efficiency. The calculated results show that applying the technique presented here can yield exact stationary solutions for the nonlinear oscillators. This is obtained by using an energy-dependent system, and for a nonlinearity of a more complex type. A more accurate approximate solution is then available, and is compared with the approximation. Application of the technique is illustrated by examples.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 3
    Digitale Medien
    Digitale Medien
    Springer
    Archive of applied mechanics 66 (1996), S. 343-356 
    ISSN: 1432-0681
    Schlagwort(e): multifrequency excitations ; strong damping ; off-resonance vibration ; resonance ; Duffing equations
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau
    Notizen: Summary In this paper, a new asymptotic calculation method is presented for a class of nonlinear nonautonomous vibration systems with multiple external periodic interferences. Simple calculation formulae of an asymptotic solution for resonance and off-resonance vibration are derived. The paper is concerned with a vibration system representing a class of nonlinear oscillators. Consequently, the calculation of a class of nonlinear oscillators is routinized. Two different Duffing equations are verified which shows that the results are completely in accordance with the solutions of references [3, 4, 6]. The derivation of solutions of Duffing equations becomes easier and simpler. In addition, some errors in reference [6] are pointed out.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 4
    Digitale Medien
    Digitale Medien
    Springer
    Archive of applied mechanics 65 (1995), S. 457-464 
    ISSN: 1432-0681
    Schlagwort(e): nonlinear structure ; Gaussian excitation ; polynomial approximation ; stationary probability
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau
    Notizen: Summary A new technique is proposed to obtain an approximate probability density for the response of a general nonlinear system under Gaussian white noise excitations. In this new technique, the original nonlinear system is replaced by another equivalent nonlinear system, structured by the polynomial formula, for which the exact solution of stationary probability density function is obtainable. Since the equivalent nonlinear system structured in this paper originates directly from certain classes of real nonlinear mechanical systems, the technique is applied to some very challenging nonlinear systems in order to show its power and efficiency. The calculated results show that applying the technique presented here can yield exact stationary solutions for the nonlinear oscillators. This is obtained by using an energy-dependent system, and for a nonlinearity of a more complex type. A more accurate approximate solution is then available, and is compared with the approximation. Application of the technique is illustrated by examples.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 5
    Digitale Medien
    Digitale Medien
    Springer
    Journal of cancer research and clinical oncology 108 (1984), S. 98-109 
    ISSN: 1432-1335
    Schlagwort(e): Cocarcinogenesis ; Tumor promoters ; Irritants ; Diterpene esters ; Euphorbia resinifera ; Euphorbium
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Medizin
    Notizen: Summary The irritant and tumor-promoting principles were isolated from the latex of Euphorbia resinifera Berg. and from the resin derived from latex (euphorbium), which is commercially available as a drug. The irritant Euphorbia factors RL 5 (mixture), RL 6, RL 7, RL 8, and RL 10 were identified as tigliane-type 12-deoxyphorbol esters each bearing, in the 13 position, either long-chain, partially methylsubstituted acyl residues (10–16 carbon atoms) or short-chain acyl residues (4 or 5 carbon atoms) or a (substituted) phenylacetyl group with a 20-acetoxy group. Euphorbia factors RL 15 (mixture), RL 16, RL 17, RL 18, and RL 21 are the corresponding 20-deacetylated derivatives thereof. The irritant Euphorbia factors RL 11, RL 12, RL 22, RL 23 were characterized as esters of the tigliane type 12-deoxy-16-hydroxyphorbol, i.e., 13-0-phenylacetyl-16-0-benzoyl-12-deoxy 16-hydroxyphorobol-20-acetate (RL 11) and 13, 16-0-phenylacetyl, tigloyl-12-deoxy-16-hydroxy-phorbol-20-acetate (RL 12), RL 22 and RL 23 representing the respective 20-deacetylated derivatives. A mixture of irritant factors, RL 13, was shown to represent long-chain 3-esters of ingenane-type ingenol with similar acyl residues (10–16 carbon atoms, partially methyl-substituted) to RL 5 (RL 15) above. A further group of E. resinifera factors was of the daphnane type: RL 9 was identified as the extremely irritant 9,13,14-orthophenylacetate of resiniferonol-20-(4-hydroxy-3-methoxy)phenylacetate (Resiniferatoxin), RL 14 as the corresponding 9,13,14-orthophenylacetate of resiniferonol, and RL 20 as 14-0-phenylacetylresiniferonol-20-(4-hydroxy-3-methoxy)-phenylacetate (Proresiniferatoxin). The irritant factors specified below were accompanied by nonirritant esters of the tigliane type 12,20-dideoxyphorbol, i.e., RL 1 and RL 2, and of the lathyrane type ingol, i.e., RL 3 and RL 4. In tumor promotion experiments the mixture of homologous irritant factors RL 13 was equipotent with the standard tumor promoter TPA, but at 10 times the dose of TPA. Several others of the irritant factors had low activity as tumor promotors, but of the few tumors obtained in these experiments a high percentage was malignant. The very high irritant activity of the latex may be ascribed to resiniferatoxin (RL 9), representing a new class of rapidly acting skin irritants. No promoting activity was detected on administration of the highly irritant resiniferatoxin.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
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