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DISEÑO DE FUNDACIONES DE MULTIPLES MOLINOS VERTICALES ENFOCADO A MITIGACION DE VIBRACIONES DURANTE SU OPERACIÓN CONJUNTA Guillermo Etse PhD, Juan Grassetto, Monica Perosa MOTIVACIÓN • Mitigar vibraciones producto de la operación simultanea de múltiples molinos verticales en plantas cementeras • Reducir potencialidad de resonancia dinámica • Mejorar la sustentabilidad de la operación de molienda de crudo, cemento y carbon • Reducir CapEx AGENDA • • • • • • • • Introducción Metodología de diseño dinámico de fundaciones Caso de análisis Operación aislada vs. Múltiple de molinos verticales Efecto de la rigidez de los suelos de fundación Efecto de la distancia entre molinos Costos y acciones para reducir CapEx Conclusiones y Recomendaciones INTRODUCCIÓN Dynamic Method (wave transmision) F(t) Static Method (Strength) F M M K K Equivalent mechanical system F R1 Strength F M V T1 K R2 t K2 K1 Stiffness K = K1 (stiff soil) K2 (soft soil) U T2 V (wave velocity) = V(K,) (frecuency) = 1/T = (K,M) ASSESSMENT TESTS OF SOIL DYNAMIC PROPERTIES Impact Force Cross Hole Down Hole Spectral Analysis of Surface Waves - SASW F F(t) Force spectrum M K V V T1 Resonance (M1,K1) t T2 (M2,K2) Response spectrum of the foundation system Multiple Vertical Mills Mill Acceleration Spectra SYSTEMS OF MULTIPLE VERTICAL MILLS 1. CEMENT GRINDING PLANT IN SOUTH AMERICA Control Room MILL 1 MILL 2 SYSTEMS OF SAG MILL AND STATOR 2. MINING PLANT IN SOUTH AMERICA SYSTEMS OF MULTIPLE VERTICAL MILLS 3. CEMENT GRINDING PLANT IN BRAZIL CASE STUDY 1 CASE STUDY 1 1 vs 3 Mills in Operation Velocities Vertical Direction 10,00 V (mm/seg) 9,00 3 Mills in Operation 8,00 7,00 6,00 5,00 4,00 3,00 2,00 1,00 Freq. (Hz) 0,00 0 5 10 15 20 25 30 CASE STUDY 1 3 Mills in Operation: Influence of Soil Mechanical Features Velocities in Vertical Direction 14,00 Vz (mm/seg) 3 Mills in Op 12,00 3 Mills in Op. - Soft Soils 10,00 8,00 6,00 4,00 Velocities in Horizontal Direction 2,00 1,80 0,00 1,50Freq. (Hz) Vy (mm/seg) 25 30 1,20 0 5 10 15 20 3 Mills in Op. 3 Mills in Op. - Soft Soils 0,90 0,60 0,30 Freq. (Hz) 0,00 0 5 10 15 20 25 30 CASE STUDY 1 3 Mills in Operation: Influence of the horizontal distance between Cement Mills Vertical Velocities 14,00 Vz (mm/seg) 3 Mill in Op. - 100% distance 12,00 3 Mills in Op.-50% Distance 10,00 8,00 Horizontal Velocity 2,20 6,00 Vy (mm/seg) 4,00 3 Mills in Op. 1,70 3 Mills in Op.-50% Distance 2,00 1,20 Freq. (Hz) 0,00 0 5 10 15 20 25 30 0,70 0,20 0 -0,30 5 10 15 20 25 Freq. (Hz) 30 Control Room Mill 4 Mill 3 Vibration Velocities on Mills 3 and 4. Mill 3 in operation, Mill 4 stop CASE STUDY 2 Influence of the Mill Operational Frequencies Velocity (mm/s) 2 Vertical Mills in Operation: Mill 3 Mill 4 Frequency (Hz) CASE STUDY 2 2 Mills in Operation: Influence of the Mill Operational Frequencies M3 operating with variable frequency and M4 in steady state at 10 Hz Only M3 in Operation Frequency (Hz) Velocity (mm/s) Velocity (mm/s) Only M3 in Operation M3 operating with variable frequency and M4 in steady state at 20 Hz Frequency (Hz) CASE STUDY 2 2 Mills in Operation: Influence of the Mill Operational Frequencies Only M4 in Operation Only M3 in Operation Only M3 in Operation Velocity (mm/s) Velocity (mm/s) M3 and M4 operating in resonance M3 and M4 operating at 20Hz M3 and M4 operating at variable frequency in resonance Frequency Frequency (Hz) (Hz) CONCLUSIONES Y RECOMENDACIONES AUTORES Etse, Guillermo Grassetto, Juan Pablo Perosa, Mónica SAXUM Engineered Solutions