Judul: Rancangan Pemanfaatan Air Sungai Cihideung untuk Kebun Percobaan Leuwikopo Kabupaten Bogor
Abstrak: Pemanfaatan Sungai Cihideung sebagai suplai irigasi di musim kemarau mencegah terjadinya kekeringan. Pompa hydram menjadi salah satu alternatif yang murah dan mudah untuk mendistribusikan air dari sungai ke kebun. Penelitian ini bertujuan menentukan nilai ketersediaan air dan pemanfaatan Sungai Cihideung untuk kebun percobaan Leuwikopo, menentukan kebutuhan air di lahan, dan menghasilkan rancangan penampung air di lahan yang bersumber dari Sungai Cihideung. Nilai kebutuhan dan ketersediaan air di lahan sangat bergantung pada evapotranspirasi dan curah hujan. Evapotranspirasi standar pada kebun berkisar 3,2 – 4,5 mm/hari. Tanaman yang dipilih sebagai acuan dalam penelitian adalah tebu. Evapotranspirasi tanaman tebu berkisar 1,91 – 4,45 mm/hari dengan kebutuhan maksimum tanaman sebesar 137,95 mm/bulan. Curah hujan di Kabupaten Bogor relatif tinggi, berkisar 3000-4500 mm/tahun. Kebutuhan rata-rata saat musim kemarau mencapai 1,35 mm/hari, dibuat menjadi volume acuan untuk bak penampung sebesar 4.860 liter. Kebutuhan air yang perlu untuk disuplai sebesar 0,21 l/detik untuk luasan 0,36 Ha. Dimensi tampungan 2,5 m x 1,5 m x 1,5 m terbuat dari fiberglass, pengisian dengan pompa hydram dengan debit sebesar 0,248 l/detik selama 5 jam 25 menit., Utilization of the Cihideung River as an irrigation supply in the dry season prevents drought. Hydraullic ramp were cheap and easy alternative to distribute water. Research’s objectives are to determine the value of water availability and utilization of the Cihideung River for the Leuwikopo experimental garden, determine the water demand on the land, and produce a water reservoir design on the land. The value of the need and availability of water in the land are highly dependent on evapotranspiration and rainfall. Standard evapotranspiration in field ranges from 3,2 to 4.5 mm/day. Sugarcane is the selected plant. Sugarcane evapotranspiration ranged from 1,91 to 4,45 mm/day with a maximum plant requirement of 137,95 mm/month. Rainfall in Bogor Regency is relatively high, ranging from 3000-4500 mm/year. The average demand during the dry season reaches 1,35 mm/day, which is made into a reference volume for a holding tank of 4.860 liters. The water requirement that needs to be supplied is 0,21 l/second for an area of 0,36 ha. The dimensions of the 2,5 m x 1,5 m x 1,5 m reservoir are made of fiberglass, filled with a hydraulic ram pump with a discharge of 0,248 l/second for 5 hours 25 minutes.
Keyword: curah hujan, evapotranspirasi, hydram, bak tampung, evapotranspiration, hydram, rainfall, reservoir

Judul: Application of the Hydram Pump on Cihideung River as a Water Supply System for Leuwikopo Experimental Field Bogor Regency
Abstrak: Pemenuhan kebutuhan air untuk kebun percobaan sangat diperlukan sebagai upaya peningkatan hasil yang diharapkan. Selama ini kebutuhan air di lahan Leuwikopo hanya dipenuhi dari air hujan dan air tanah, sedangkan Sungai Cihideung yang dekat belum dimanfaatkan dengan baik. Penelitian ini bertujuan untuk mengetahui debit suplai, menghasilkan rancangan pipa transmisi, dan desain instalasi penerapan pompa hidram. Penelitian dimulai dengan mengukur beda elevasi dari rencana titik pengambilan, titik pompa hidram, dan titik reservoir. Selanjutnya dilakukan perhitungan debit suplai dengan metode Iversen, penentuan dimensi pipa suplai berdasarkan metode Calvert, perancangan perpipaan dengan perhitungan head loss, dan penentuan spesifikasi pompa hidram di pasaran. Hasil penelitian menunjukkan debit penggerak pompa hidram sebesar 8,22 l/detik. Jaringan perpipaan pada pipa suplai sepanjang 28 m dengan diameter 4 in berbahan PVC dan pipa penghantar sepanjang 140 m dengan diameter 2 in berbahan HDPE. Rancangan desain instalasi pada intake menggunakan drum berkapasitas 120 l yang diberi lubang. Pompa hidram yang digunakan adalah pompa merek Sanan tipe Flap 4 dengan estimasi debit pemompaan sebesar 0,341 l/detik atau 29.462 liter/hari., Meeting the water needs for experimental field is very necessary as an effort to increase the expected yields. So far, the fulfillment of water needs in the Leuwikopo field is only from rainwater and ground water, while the Cihideung River which is close has not been used properly. This study aimed to determine the supply flowrate, produce a transmission pipe design, and design the installation of a hydraulic ram pump. The study begined by measuring the elevation difference from the planned intake point, hydram pump point, and reservoir point. Furthermore, calculating the supply discharge using the Iversen method, determining the supply pipe based on the Calvert method, designing a piping network with head loss calculations, and determining the hydram pump specification in the market. The results showed that the flowrate of the hydraulic ram pump was 8,22 l/second. The piping network in the supply pipes was 28 m long with a diameter of 4 in and was made of PVC, while the delivery pipes with 140 m long and 2 in diameter was made of HDPE. The installation design at the intake was designed using a drum with capacity of 120 l and had a hole. The hydraulic ram pump used was a Sanan pump type Flap 4 with an estimated pumping discharge of 0,341 l/second or 29.462 l/day.
Keyword: debit suplai, desain, pompa hidram

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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