MODIFICATION OF METHOD APPLICATION PROCEDURE FOR EIGEN FREQUENCY CHANGED BY OPTIMIZED VALUES AND LOCATIONS OF ADDITIONAL LOADS
          
      
    
      
    
                        
          
    
  
      
  
    
                
            Abstract
            Earlier the author suggested methods of modifying the first eigen frequency by optimization of values and locations of additional loads. Methods based on the use of specific properties of eigen frequency allow achieving the optimum solution only when all limits for additional loads values have the form of strict inequalities. In all other cases these methods provide the stage-by-stage movement to optimum solutions but do not ensure their absolute accomplishment. The paper suggests to change the procedure of method applications such that only one nodal point would be detected at design stages which is less sensible to the location of additional loads in the loading task and more sensible to the mass decrease in the task of the frequency increase. This modification allows taking into consideration the difference between sensibilities of nodal points that approximates the solution to its optimum.
         
              
      Keywords
      
                
        частоты собственных колебаний,        
        
 узловые точки,        
        
 внешние массы,        
        
 дополнительные и снимаемые массы,        
        
 ограничения,        
        
 оптимизация,        
        
 особые свойства,        
        
 eigen frequency,        
        
 nodal point,        
        
 external loads,        
        
 additional loads,        
        
 limits,        
        
 optimization,        
        
 specific properties               
      
             
        
                        		
                     
    
      
                  About the Author
              
               
             LEONID S. Lyakhovich
         
        
                        Tomsk University of Architecture and Building
        
Russian Federation
    
				    
    
    
          
     
        
        References
        
          
                                                            1. Lyakhovich L.S., Krul' N.A. Optimizatsiya izmenenii nagruzki pri ogranicheniyakh na velichinu chastoty sobstvennykh kolebanii [Optimization of load change at limited eigen frequency]. Vestnik TSUAB, 2001. No. 1. Pp. 8–9. (rus)
                                    2. Lyakhovich L.S. Osobye svoistva optimal'nykh sistem i osnovnye napravleniya ikh realizatsii v metodakh rascheta sooruzhenii : monografiya [Specific properties of optimum systems and their implementations in building design]. TSUAB Publ., 2009. 372 p. (rus)
                                    
           
          
         
        
  
     
    
    
    
    
 
    
      For citations:
                                    Lyakhovich L.S.
                                              MODIFICATION OF METHOD APPLICATION PROCEDURE FOR EIGEN FREQUENCY CHANGED BY OPTIMIZED VALUES AND LOCATIONS OF ADDITIONAL LOADS.      Vestnik of Tomsk state university of architecture and building.            2015;(3):79-93.  
                                                                                                      (In Russ.)
                                          
                                                          
    
  
  
  
  
    
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