Lyakhovich L.S.

UDC 624.042.2

LEONID S. LYAKHOVICH, DSc, Professor,

lls@tsuab.ru

ANATOLII P. MALINOVSKII, PhD, A/Professor,

Tomsk University of Architecture and Building,

2, Solyanaya Sq., 634003, Tomsk, Russia

MINIMUM MATERIALS CONSUMPTION AT H-BEAM STRENGTHENING AND RESTRICTIONS OF CRITICAL LOAD AND FIRST EIGENFREQUENCY

In previous works, the criteria of minimum material consumption were considered at different restrictions and types of cross-sections. Such criteria are determined for beams with H-shaped cross-section and restrictions to the value of critical load and first eigenfrequency. In real situations, structural elements are needed to be reinforced. This paper presents the criterion for the minimum materials consumption at strengthening of H-beams and restrictions to the value of critical load or first eigenfrequency.

Keywords: optimization; minimum materials consumption; stability; frequency; buckling mode; eigenfrequency mode; stress; flexure.

References

  1. Vol'mir A.S. Ustoichivost' uprugikh sistem [Elastic system stability]. Leningrad : Fizmatgiz Publ., 1963. 879 p. (rus)
  2. Lyakhovich L.S. Osobye svoistva optimal'nykh sistem i osnovnye napravleniya ikh realizatsii v metodakh rascheta sooruzhenii [Optimum system properties and main trends of their implementation in design technique]. Tomsk : TSUAB Publ., 2009. 372 p. (rus)
  3. Malinovskii A.P. Chislennyi metod rascheta sterzhnei na prochnost', ustoichivost' i kolebaniya [Numerical methods of rebar strength, stability, and oscillations]. Issledovaniya po stroitel'nym konstruktsiyam i stroitel'noi mekhanike. Tomsk : TSUAB Publ., 1978. Pp. 85–96. (rus)
  4. Panovko Ya.G. Osnovy prikladnoi teorii kolebanii i udara [Basics of theory of oscillations and impact]. Leningrad : Mashinostroenie, Leningradskoe otdelenie, 1976. 320 p. (rus)

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