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Eğitmen, ders notlarının nasıl erişilebileceğini de açıklamaktadır.","Videoda frekans cevabı yöntemlerinden Bode diyagramları (logaritmik eğriler) detaylı olarak ele alınmaktadır. Eğitmen önce teorik bilgileri vererek frekans alanı yaklaşımının doğrusal sistemlerin kararlılığını ölçmek için kullanılan üç yöntemden biri olduğunu belirtiyor, ardından Bode diyagramlarının nasıl çizileceğini çeşitli transfer fonksiyonları üzerinden örneklerle açıklıyor.","Videoda ayrıca desibel, dikeyt ve oktav gibi logaritmik kavramlar da açıklanmakta ve farklı denklemlerin (20 logaritma k, 20 logaritma 1+jω, 20 logaritma 1+jωn vb.) grafiklerinin çizme kuralları adım adım gösterilmektedir. Dersin sonunda, bir sonraki derste kutupsal eğriler (Niquist eğrileri) konusuna geçileceği belirtilmektedir."]},"endTime":2006,"title":"Otomatik Kontrol Sistemlerinde Bode Diyagramları Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Otomatik Kontrol Sistemleri Dersi Tanıtımı","list":{"type":"unordered","items":["İlke, Otomatik Kontrol Sistemleri dersinin onuncu videosunu sunuyor.","Ders notları, bir sonraki ders (on birinci) açıklamasındaki linkten indirilebilir.","Bu derste frekans cevabı yöntemlerinden Bode diyagramları işlenecek."]},"beginTime":0,"endTime":53,"href":"/video/preview/9129118746578581773?parent-reqid=1769473331225612-8959967873521994882-balancer-l7leveler-kubr-yp-sas-120-BAL&text=bodes_r&t=0&ask_summarization=1"},{"index":1,"title":"Frekans Cevabı Yöntemleri","list":{"type":"unordered","items":["Doğrusal geri beslemeli sistemlerin kararlılığını ölçmek için üç yöntem vardır: karmaşık s düzlemi yaklaşımı, zaman alanı yaklaşımı ve frekans alanı yaklaşımı.","Frekans alanı yaklaşımı (frekans cevabı yöntemi) üç şekilde ayrılır: logaritmik eğriler (Bode diyagramları), kutupsal eğriler (Nyquist eğrileri) ve logaritmik modül-faz açısı (Nichols diyagramları).","Dersde Bode diyagramları ve Nyquist eğrileri üzerinde durulacak, Nichols diyagramlarına giriş yapılmayacak."]},"beginTime":53,"endTime":144,"href":"/video/preview/9129118746578581773?parent-reqid=1769473331225612-8959967873521994882-balancer-l7leveler-kubr-yp-sas-120-BAL&text=bodes_r&t=53&ask_summarization=1"},{"index":2,"title":"Genlik ve Faz Grafiği Hesaplama","list":{"type":"unordered","items":["Bode diyagramları, sistemlerin kararlılığını belirlemek için kullanılır.","Bir sistem transfer fonksiyonu verildiğinde (örneğin G(s) = 1/(s+1)), genlik ve faz grafiği çizilerek sistem yorumlanabilir.","Genlik hesaplanırken |G(jω)| = 1/√(ω²+1) formülü kullanılır, faz açısı ise -tan⁻¹(ω) olarak bulunur."]},"beginTime":144,"endTime":305,"href":"/video/preview/9129118746578581773?parent-reqid=1769473331225612-8959967873521994882-balancer-l7leveler-kubr-yp-sas-120-BAL&text=bodes_r&t=144&ask_summarization=1"},{"index":3,"title":"Genlik ve Faz Grafiği Çizimi","list":{"type":"unordered","items":["Genlik grafiği çizilirken ω değerleri sıfırdan sonsuza kadar verilerek G(ω) değerleri bulunur.","Genlik değeri ω değeri arttıkça azalır, sonsuza gittiğinde sıfıra yaklaşır.","Faz grafiğinde ω değeri arttıkça açı değerleri eksi yönde düşer ve -90°'a kadar ilerler."]},"beginTime":305,"endTime":377,"href":"/video/preview/9129118746578581773?parent-reqid=1769473331225612-8959967873521994882-balancer-l7leveler-kubr-yp-sas-120-BAL&text=bodes_r&t=305&ask_summarization=1"},{"index":4,"title":"Bode Diyagramı Kullanımı","list":{"type":"unordered","items":["Karmaşık transfer fonksiyonları için el yordamıyla hesaplama zor olduğundan Bode diyagramları kullanılır.","Bode diyagramlarında desibel kavramı, 20 logaritma X formülü kullanılarak hesaplanır.","Bode diyagramında genlik hesaplanırken 20 logaritma katsayıları kullanılır ve her terim için ayrı formüller vardır."]},"beginTime":377,"endTime":583,"href":"/video/preview/9129118746578581773?parent-reqid=1769473331225612-8959967873521994882-balancer-l7leveler-kubr-yp-sas-120-BAL&text=bodes_r&t=377&ask_summarization=1"},{"index":5,"title":"Faz Hesaplama","list":{"type":"unordered","items":["Faz hesaplanırken sabit katsayıların açısı sıfırdır.","1+jωT terimlerinin açısı -tan⁻¹(ωT) olarak bulunur.","jωⁿ terimlerinin açısı n×90° olarak hesaplanır."]},"beginTime":583,"endTime":634,"href":"/video/preview/9129118746578581773?parent-reqid=1769473331225612-8959967873521994882-balancer-l7leveler-kubr-yp-sas-120-BAL&text=bodes_r&t=583&ask_summarization=1"},{"index":6,"title":"Bode Diyagramı Çizimi","list":{"type":"unordered","items":["Bode diyagramında genlik ve faz grafikleri çizilirken, denklemin tablosu kullanılır.","Sabit bir sayı (k) olduğunda, y ekseninde 20 log(k) değeri ile sabit bir grafik çizilir.","jω^n şeklindeki terimler için, 20n desibellik doğrusal eğim çizilir ve faz açısı 90n derece olur."]},"beginTime":637,"endTime":744,"href":"/video/preview/9129118746578581773?parent-reqid=1769473331225612-8959967873521994882-balancer-l7leveler-kubr-yp-sas-120-BAL&text=bodes_r&t=637&ask_summarization=1"},{"index":7,"title":"Farklı Terimler İçin Grafik Çizimi","list":{"type":"unordered","items":["1/ω^n terimleri için, -20n desibellik eğim çizilir ve faz açısı -90n derece olur.","(1+jωz)/(1+jωz) terimleri için, z değerine kadar sabit, sonra 20 desibellik artış gösteren bir grafik çizilir.","1/(1+jω/p)^n terimleri için, p değerine kadar sabit, sonra -20n desibellik azalma gösteren bir grafik çizilir."]},"beginTime":744,"endTime":1039,"href":"/video/preview/9129118746578581773?parent-reqid=1769473331225612-8959967873521994882-balancer-l7leveler-kubr-yp-sas-120-BAL&text=bodes_r&t=744&ask_summarization=1"},{"index":8,"title":"Bode Diyagramı Çizim Örneği","list":{"type":"unordered","items":["2(1+0.3s)/(1+0.1s) fonksiyonunun Bode diyagramı çizilirken, önce genlik denklemi çıkarılır.","Denklem 20 log(2) + 20 log(1+jω/3) - 20 log(1+jω/10) şeklinde yazılır.","Her terim için ayrı grafik çizilir ve sonra bu grafikler birleştirilerek toplam genlik grafiği elde edilir."]},"beginTime":1039,"endTime":1367,"href":"/video/preview/9129118746578581773?parent-reqid=1769473331225612-8959967873521994882-balancer-l7leveler-kubr-yp-sas-120-BAL&text=bodes_r&t=1039&ask_summarization=1"},{"index":9,"title":"Bode Diyagramı Çizimi","list":{"type":"unordered","items":["Bode diyagramı çizimi için önce denklemi yazıp, omega değerlerini (sıfır, 0,1, 10 gibi) belirlemek gerekiyor.","Birinci grafiğin 0,1'den 10'a kadar sabit, 10'dan sonra 90 derecelik açıyla devam ettiği belirtiliyor.","İkinci grafiğin 1'e kadar sabit, 1'den 100'e kadar sabit bir eğimle azaldığı ve sonrasında sabit devam ettiği gösteriliyor."]},"beginTime":1378,"endTime":1527,"href":"/video/preview/9129118746578581773?parent-reqid=1769473331225612-8959967873521994882-balancer-l7leveler-kubr-yp-sas-120-BAL&text=bodes_r&t=1378&ask_summarization=1"},{"index":10,"title":"Bode Diyagramı Birleştirme","list":{"type":"unordered","items":["Bode diyagramlarını birleştirmede, 0,1'den 1'e kadar birinci grafiğin etkisi devam eder, 1'den sonra ikinci grafiğin düşüş etkisi başlar.","100'de ikinci grafik sabitleştiğinde, 100'den sonra yine düz çizgi şeklinde devam eder.","Bode diyagramında 1'in 45 derece, 10'un 90 derece olduğunu ve faz açılarında 10'un -45'e, 100'ün -90'a geldiğini unutmamak 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